Xray 1gshdjjxjzjzjznznznxkxkxkkxjxhxbbxbh

NikhilTG2 13 views 106 slides May 29, 2024
Slide 1
Slide 1 of 106
Slide 1
1
Slide 2
2
Slide 3
3
Slide 4
4
Slide 5
5
Slide 6
6
Slide 7
7
Slide 8
8
Slide 9
9
Slide 10
10
Slide 11
11
Slide 12
12
Slide 13
13
Slide 14
14
Slide 15
15
Slide 16
16
Slide 17
17
Slide 18
18
Slide 19
19
Slide 20
20
Slide 21
21
Slide 22
22
Slide 23
23
Slide 24
24
Slide 25
25
Slide 26
26
Slide 27
27
Slide 28
28
Slide 29
29
Slide 30
30
Slide 31
31
Slide 32
32
Slide 33
33
Slide 34
34
Slide 35
35
Slide 36
36
Slide 37
37
Slide 38
38
Slide 39
39
Slide 40
40
Slide 41
41
Slide 42
42
Slide 43
43
Slide 44
44
Slide 45
45
Slide 46
46
Slide 47
47
Slide 48
48
Slide 49
49
Slide 50
50
Slide 51
51
Slide 52
52
Slide 53
53
Slide 54
54
Slide 55
55
Slide 56
56
Slide 57
57
Slide 58
58
Slide 59
59
Slide 60
60
Slide 61
61
Slide 62
62
Slide 63
63
Slide 64
64
Slide 65
65
Slide 66
66
Slide 67
67
Slide 68
68
Slide 69
69
Slide 70
70
Slide 71
71
Slide 72
72
Slide 73
73
Slide 74
74
Slide 75
75
Slide 76
76
Slide 77
77
Slide 78
78
Slide 79
79
Slide 80
80
Slide 81
81
Slide 82
82
Slide 83
83
Slide 84
84
Slide 85
85
Slide 86
86
Slide 87
87
Slide 88
88
Slide 89
89
Slide 90
90
Slide 91
91
Slide 92
92
Slide 93
93
Slide 94
94
Slide 95
95
Slide 96
96
Slide 97
97
Slide 98
98
Slide 99
99
Slide 100
100
Slide 101
101
Slide 102
102
Slide 103
103
Slide 104
104
Slide 105
105
Slide 106
106

About This Presentation

Xray


Slide Content

! #$%& '()*$+,-+.-+ ,/+-0$*1+0$& 10

!2 3456 437 6893: ;4<7=7>?:8 7=7@:39A4?>7:B@ 34CB4:B9>6 D39CE@7C F5 :87 C7@7=734:B9> 9G 8B?8 7>73?5 7=7@:39>6 93 F5 7=7@:39>B@ :34>6B:B9>6 9G 7=7@:39>6 B> 10 :87 B>>73 93FB:4=6 9G 4:9A6H !2 3456 84<7 4 ;4<7=7>?:8 34>?7 9G IJ 2K % -9><7>:B9>4= !2 345 6D7@:396@9D5 B6 =43?7=5 @9>GB>7C :9 JHI % :9 LK % H J J : 9 IJ J % H J J

10 !2 3456 437 ?7>734:7C F5M IH N9AF43CB>? 4 A7:4= :43?7: ;B:8 4 F74A 9G 8B?8 7>73?5 7=7@:39>6H LH +OD96B>? 4 6EF6:4>@7 :9 4 D3BA435 F74A 9G !#3456 :9 ?7>734:7 4 67@9>C435 F74A 9G !#3456 9G =9;73 7>73?5H PH )6B>? 4 34CB94@:B<7 69E3@7 7AB::B>? !#3456 CE3B>? B:6 C7@45 D39@766 4>C QH '39A 4 65>@839:39> 34CB4:B9> 69E3@7H

10 R> 4> !#345 :EF7 F9:8 @9>:B>EEA 4>C =B>7 6D7@:34 437 7AB::7CH +=7@:39>6 437 D39CE@7C 4: 4 874:7C @4:89C7 4>C 4@@7=734:7C :9;43C 4 A7:4= 4>9C7 S:43?7:T F5 4 D9:7>:B4= CBGG737>@7 9G IJJ UVH )D9> @9==BCB>? ;B:8 :87 4>9C7W D43: 9G :87 7>73?5 9G :87 B>@BC7>: F74A B6 @9><73:7C B>:9 !#3456H 087 @9>:B>EEA !#345 6D7@:3EA 7O8BFB:6 4 ;7== C7GB>7C 6893: ;4<7=7>?:8 =BAB: SL J T ;8B@8 B6 4 @8434@:73B6:B@ 9G :87 4DD=B7C <9=:4?7W B3376D7@:B<7 9G :87 >4:E37 9G :87 :43?7:H

-*.0R.))1 $%XR%0R*. '$*1 %. ! 2 $%& 0)N+ YR0Z % 0).[,0+. 0%$[+0 10

10 087 @9>:B>EEA 34CB4:B9> 376E=:6 G39A @9==B6B9>6 F7:;77> :87 7=7@:39>6 4>C 4:9A6 9G :87 :43?7:H +4@8 @9==B6B9> 376E=:6 B> :87 7AB66B9> 9G 4 D89:9>H 087 7>73?5 9G :87 D89:9> B6 7\E4= :9 :87 7>73?5 =966 9G :87 7=7@:39>H % >EAF73 9G @9==B6B9>6 ;B:8 C7@3746B>? 7>73?5 A45 9@@E3 G93 74@8 7=7@:39> 46 B: F9E>@76 G39A 9>7 4:9A B>:9 4>9:873 H 087 A4OBAEA D89:9> 7>73?5 ?7>734:7C @93376D9>C6 :9 :87 B>6:4>:4>79E6 C7@7=734:B9> 9G :87 7=7@:39> :9 ]739 UB>7:B@ 7>73?5 B> 4 6B>?=7 @9==B6B9>H

10 087 UB>7:B@ 7>73?5 9G 4== :87 7=7@:39>6 @4> F7 7OD37667C 46 :87 XE4>7 # ZE>: =4;W V7 ^ 8  ^ 8@ _ L ;8737 < B6 :87 4DD=B7C D9:7>:B4=W  B6 :87 G37\E7>@5H 08E6 :87 UB>7:B@ 7>73?5 B6 :87 D39CE@: 9G 4@@7=734:B>? <9=:4?7 4>C :87 @843?7 9> :87 7=7@:39> 4>C  B6 :87 A4OBAEA 9G :87 34CB4:B9> :84: @4> F7 D39CE@7CH

10 !#345 =B>7 6D7@:34 376E=: G39A 7=7@:39>B@ :34>6B:B9>6 B> :87 B>>73A96: 4:9AB@ 93FB:4=6H 0875 9@@E3 B> :87 =9>?73 ;4<7=7>?:8 34>?7 9G Q # ` % H 087 =B>7 6D7@:34 9@@E3 G93 4== :87 7=7A7>:6 84<B>? 4:9AB@ >EAF736 9G IL 4>C 4F9<7H +=7A7>:6 84<B>? 4:9AB@ >EAF736 =766 :84> LP 689; 9>=5 :;9 =B>76 @4==7C 46 a 673B76 4>C C76B?>4:7C 46 a a 4>C a þ H 08767 437 9G 6893: ;4<7=7>?:86H '93 7O4AD=7 a 673B76 G93 :E>?6:7> :43?7: 4DD743 4: JHIb 4>C JHLI%H J J

(R.+ ,/+-0$)1 YR0Z % 1*(&NX+.)1 0%$[+0 a a a 09 09 IK Pc PKUV $7=4:B<7 B>:7>6B:5 IL b Q J JHL JHQ IHJ JH` JHb ;4<7=7>?:8W % 9 10

10 +=7A7>:6 84<B>? 4:9AB@ >EAF736 A937 :84> LP 689; ( 673B76 ;8B@8 437 4=69 C76B?>4:7C 46 a I W þ I H 08737 B6 4 :837689=C <9=:4?7 G93 74@8 7=7A7>: F7=9; ;8B@8 =B>7 6D7@:34 C9 >9: 4DD743H '93 7O4AD=7W F7=9; KJ UV W >9 =B>7 6D7@:34 B6 9F:4B>7C G93 A9=5FC7>EAH Z9;7<73 4F9<7 cJ UV B: D39CE@76 =B>7 6D7@:34H

10 +=7A7>: %:9AB@ >EAF73 a # ,73B76 a I þ I ( # ,73B76 a I þ I Na 11 11.909 11.617 - - K 19 3.742 3.454 - - Cr 24 2.290 2.085 21.714 21.323 Rb 37 0.926 0.829 7.318 7.075 Cs 55 0.401 0.355 2.892 2.683 W 74 0.209 0.184 1.476 1.282 U 92 0.126 0.111 0.911 0.720 !#345 7AB66B9> =B>76 G93 69A7 :5DB@4= 7=7A7>:6

196=75 689;7C :84: :8737 B6 4 =B>743 37=4:B9>68BD F7:;77> :87 6\E437 399: 9G G37\E7>@5 G93 4 ?B<7> a 93 ( =B>7 4>C :87 4:9AB@ >EAF73 46 689;> F7=9;H @_L ^ 4 S d # o T L 10

10 087 6893: ;4<7=7>?:8 a 673B76 B6 D39CE@7C ;87> :87 8B?8 7>73?5 7=7@:39> F74A 37A9<76 4> 7=7@:39> G39A :8967 93FB:4=6 >74376: :9 :87 >E@=7E6 9G :87 :43?7: 4:9AH 08B6 D39CE@76 4> 7O@B:7C B9> ;8B@8 7AB:6 4 \E4>:4 9G 34CB4:B9> 46 7=7@:39>6 G39A 9E:73 93FB:4=6 E>C73?9 :34>6B:B9>6 :9 GB== :87 <4@4>@5H a 673B76 =B>76 43B67 G39A :34>6B:B9>6 F7:;77> 8B?873 7>73?5 =7<7=6 4>C :87 a 687==H ( 673B76 9G =B>76 376E=:6 ;87> 4> 7=7@:39> B6 =96: G39A :87 67@9>C D3B>@BD4= \E4>:EA =7<7= CB37@:=5 93 G39A :87 :34>6B:B9> 9G 4> ( 7=7@:39> :9 :87 a =7<7=H

/%$0R%( +.+$[& (+V+( XR%[$%1 -%),R.[ !#$%&, /$*X)-0R*. 10

10 R> :8B6 GB?E37W :87 4:9AB@ 7>73?5 =7<7=6 437 B> :87 =9?43B:8AB@ 6@4=7H 087 7>73?5 CBGG737>@7 F7:;77> a I Wa L 4>C þ I W þ L 437 69 6A4== :84: :875 4DD743 46 6B>?=7 =B>76H 08B6 7>73?5 =7<7= CB4?34A B6 4DD=B@4F=7 :9 4>5 7=7A7>: ;B:8 6EGGB@B7>: 7=7@:39>6 :9 D73AB: :87 >EAF73 9G :34>6B:B9>6 689;>H 087 ;4<7=7>?:86 9G @8434@:73B6:B@ !#345 7AB66B9>6 437 B>C7D7>C7>: 9G :87 @87AB@4= 6:4:7 9G :87 7=7A7>: 46 :87 :34>6B:B9>6 C9 >9: B><9=<7 F9>CB>? 93 >9>F9>CB>? 7=7@:39>6H 08E6 :87 D96B:B9> 9G a a =B>7 G93 :E>?6:7> 93 4>5 7=7A7>: B6 64A7 ;87:873 B: B6 4> 9OBC7W 6E=D8BC7 93 DE37 A7:4= 93 4> 93?4>B@ @9AD=7OH

10 N467C 9> :87 D39D73:B76 9G !#3456W 4 >EAF73 9G 4>4=5:B@4= A7:89C9=9?B76 84<7 F77> C7<7=9D7C 9<73 :87 57436H 08767 B>@=EC7 M 4T !#345 7AB66B9> 6D7@:396@9D5 S!+,T FT %E?73 7AB66B9> 6D7@:396@9D5 S%+,T @T !2345 G=E9376@7>@7 6D7@:396@9D5 S!',T CT +=7@:39> 6D7@:396@9D5 S+,-%T 7T !#345 4F693D:B9> GT !#345 CBGG34@:B9>

17 !#$%& %.%(&0R-%( 1+0Z*X, ! # 345 7AB66B9> %E?73 7AB66B9> !#345 G=E9376@7>@7 +=7@:39> 6D7@:396@9D5 !#345 4F693D:B9> ! # 345 CBGG34@:B9>

18 !#345 4F693D:B9> 4>C 7AB66B9> 6D7@:34 437 \EB:7 6BAD=7 F7@4E67 :875 @9>6B6: 9G <735 G7; =B>76H !#345 7AB66B9> 6D7@:3EA 9G 4> 7=7A7>: A45 F7 9F:4B>7C F5 E6B>? :87 64AD=7 B:67=G 46 :87 :43?7: 7=7A7>:H Z9;7<73 :8B6 4DD394@8 B6 >9: <735 @9><7>B7>: G93 4== :5D76 9G 64AD=76H R>6:74CW 7O@B:4:B9> @4> F7 4@@9AD=B687C F5 B334CB4:B>? :87 64AD=7 ;B:8 4 F74A 9G !#3456 G39A 4> !#345 :EF7 93 4 34CB94@:B<7 69E3@7H R> :8B6 A7:89CW 4== :87 7=7A7>:6 B> :87 64AD=7 437 7O@B:7C F5 :87 4F693D:B9> 9G :87 D3BA435 F74A ;8B@8 7AB: :87B3 9;> @8434@:73B6:B@ G=E9376@7>@7 !#3456H

18 08E6 !$' B6 4 D9;73GE= :99= G93 :87 \E4=B:4:B<7 SD466 G4B= :76:T 4>C \E4>:B:4:B<7 76:BA4:B9> 9G 4== FE: :87 =B?8:76: 7=7A7>:6 84<B>? 4:9AB@ >EAF736 ?374:73 :84> :84: 9G 9O5?7> SebTH !$' B6 4 >9> C76:3E@:B<7 :7@8>B\E7 46 4?4B>6: A96: 9G :87 9:873 7=7A7>:4= :7@8>B\E76H 08737 437 :;9 :5D76 9G !2345 G=E9376@7>@7 6D7@:39A7:736 M ;4<7=7>?:8 CB6D736B<7 !#345 G=E9376@7>@7 SYX!$'T 4>C 7>73?5 CB6D736B<7 !#345 G=E9376@7>@7 S+X!$'T 6D7@:39A7:736H RAD93:4>: B>6:3EA7>: @9AD9>7>:6 9G !$' B>@=EC7 4 69E3@7W 4 :34>6CE@73W 4 6B?>4= D39@76693 4>C 374C 9E:H

R.,0$)1+.0%0R*. '*$ !$' 18

18 ,*)$-+, IH -99=BC?7 :EF7 %> !#345 :EF7 B6 4 8B?8 <4@EEAW 674=7C 9GG :EF7 @9>:4B>B>? 4 874:7C GB=4A7>: @4:89C7 SYT 4>C 4 K O IJ AA 874<5 F=9@U 9G @9DD73 ;B:8 4 A7:4= :43?7: D=4:7C 93 7AF7CC7C 9> B:6 6E3G4@7H 043?7: A4:73B4=6 B>@=EC7 :E>?6:7>W @839ABEAW @9DD73W A9=5FC7>EAW 389CBEAW 6@4>CBEAW 6B=<73W B39> 4>C @9F4=:H ,7D434:7 @B3@EB:6 437 E67C :9 874: :87 GB=4A7>: 4>C :9 4@@7=734:7 :87 7=7@:39>6 :9 :87 :43?7:H 087 874:73 @B3@EB: @9>:39=6 :87 B>:7>6B:5 9G :87 7AB::7C !#3456 4>C :87 4@@7=734:B>? <9=:4?7 C7:73AB>76 :87B3 7>73?5 93 ;4<7=7>?:8H N9:8 @E337>: 4>C <9=:4?7 AE6: F7 6:4F=7 ED :9 JHIfH

18 !#345 ?7>734:B9> F5 :8B6 A7:89C B6 F46B@4==5 4> B>7GGB@B7>: D39@766 4>C AE@8 7>73?5 B6 ;46:7C 46 874:H Z7>@7 @99=B>? 9G :87 4>9C76 B6 >7@766435H 19C73> 7\EBDA7>:6 7AD=95 8B?8=5 67>6B:B<7 :34>6CE@736 4>C 87>@7 @99=B>? B6 >9: >7@766435H 087 !#345 F74A D46676 9E: 9G :87 :EF7 :839E?8 4 :8B> F735==BEA ;B>C9; 93 4 6D7@B4= ?=466H '93 ;4<7=7>?:8 9G ` # cJ % W E=:34 :8B> SIµAT 4=EAB>EA 93 D43=9CB9> GB=A6 437 E67C :9 B69=4:7 :87 :EF7H J

18 087 @E337>: B6 37?E=4:7C F5 A9>B:93B>? :87 !#345 :EF7 X- @E337>: 4>C @9>:39==B>? :87 GB=4A7>: <9=:4?7H Y87> :87 GE== ;4<7 B6 37@:BGB7CW :87 <9=:4?7 374@876 B:6 D74U <4=E7 ILJ :BA76 D73 67@9>C 4>C D736B6:6 G93 9>=5 4 6A4== G34@:B9> 9G :BA7H Y87> :87 :EF7 B6 9D734:7C 4: KJUVW :87 ?4B> B6 :;9 G9=C G93 7=7A7>:6 ED :9 %:H .EAF73 PK SN3T 4>C B>@374676 :9 G9E3 G9=C 4: %:H .EAF73 K` SN4TH .93A4==5 !#345 :EF76 437 9D734:7C F7:;77> KJ # `J UV FE: >9; 4 C456 :EF76 ;B:8 IJJ UV 437 4<4B=4F=7H

,-Z+1%0R- *' %. !2$%& 0)N+ 18

18 $%XR*R,*0*/+, % <43B7: 5 9G 34CB94@:B< 7 6EF6:4>@7 6 6E@ 8 46 E67C 46 69E3@76 B> !$'H ,9A7 7=7A7>:6 D39CE@7 6BAD=7 =B>7 6D7@:34 4>C 9:8736 D39CE@7 4 @9>:B>EEAH % ?B<7> 34CB9B69:9D7 ;B== F7 6EB:4F=7 G93 7O@B:B>? 4 >EAF73 9G 7=7A7>:6H '93 7O4AD=7 4 69E3@7 ?B<B>? !#345 B> JHPJ # JHQc % B6 6EB:4F=7 G93 !$' 6:ECB76 G93 4== 7=7A7>:6 ED :9 6B=<73H 087 67>6B:B<B:5 BAD39<76 46 :87 ;4<7=7>?:8 9G :87 69E3@7 =B>7 4DD394@876 :87 4F693D:B9> 7C?7H 1 27 48 53 61 82 3 3 H , 55 Fe , 57 Co , 109 Cd , 125 I , 147 Pm  Al ; 210 Pb 7:@HW 437 J

18 ,+-*.X%$& '()*$+,-+.-+ ,*)$-+, R> 69A7 4DD=B@4:B9>6 4> !#345 :EF7 ;B:8 :E>?6:7> :43?7: B6 E67C :9 7O@B:7 aa 4>C aþ =B>76 9G 1*H 087 376E=:B>? G=E9376@7>@7 6D7@:3EA ;9E=C @9>:4B> 9>=5 =B>7 6D7@:34 ;8B@8 @4> F7 E67C G93 :87 7O@B:4:B9> 9G :87 4>4=5:7H

18 !#$%& 'R(0+$, R> 69A7 4DD=B@4:B9>6W O#345 :EF76 ;B:8 >4339; ;4<7=7>?:8 34>?7 437 37\EB37CH N9:8 GB=:736 4>C A9>9@839A4:936 437 E67C G93 :8B6 DE3D967H dB3@9>BEA GB=:736 9G JHJI @A :8B@U>766 437 6EB:4F=7 :9 B69=4:7 a a =B>7H R: GB=:736 A96: 9G :87 @9>:B>EEA 4>C a a =B>7H ,7<734= 9:873 GB=:736 84<7 4=69 F77> C7<7=9D7C G93 :8B6 DE3D967H gEB:7 9G:7>W :8B> 6:3BD6 9G 9:873 A7:4=6 437 4=69 7AD=957C G93 :8B6 DE3D967H

'R(0+$, '*$ !2$%&, 18

29 !#$%& 1*.*-Z$*1%0*$, !#345 A9>9@839A4:936 @9>6B6: 9G 4 D4B3 9G F74A @9==BA4:936H *>7 673<76 46 4 6=B: 4>C :87 9:873 673<76 46 :87 CB6D736B>? 4?7>:H 087 =4::73 B6 4 6B>?=7 @356:4= A9E>:7C 9> 4 ?9>B9A7:73 93 4 39:4:B>? :4F=7 :84: D73AB:6 :87 C7:73AB>4:B9> 9G :87 4>?=7 & F7:;77> :87 @356:4= G4@7 4>C :87 @9==BA4:7C B>@BC7>: F74AH N34??h6 7\E4:B9> 689;6 :84: G93 4>5 ?B<7> 4>?E=43 67::B>? 9G :87 ?9>B9A7:73 9>=5 4 G7; ;4<7=7>?:86 437 XBGG34@:7C 4@@93CB>? :9 :87 7\E4:B9>W >L ^ L C 6B> &

30 09 D39CE@7 4 6D7@:3EAW :87 7OB: F74A 4>C :87 C7:7@:93 AE6: F7 A9E>:7C 9> 4 67@9>C :4F=7 :84: 39:4:76 4: :;B@7 :87 34:7 9G :87 GB36:H Z7>@7 ;87> :87 @356:4= 39:4:76 F5 4> 4>?=7 & :87 C7:7@:93 39:4:76 F5 L&H 19C73> !2345 A9>9@839A4:936 84<7 AB@39D39@76693 @9>:39==7C A9:936 :9 C3B<7 :87 @356:4= 4>C :87 C7:7@:93 B>C7D7>C7>:=5 ;B:89E: 4 ?743 F467C A7@84>B@4= @9>>7@:B9>H Z7>@7 :875 @4> 6@4> 34DBC=5 4: :87 34:7 9G LQJ J _AB>H

%. !2$%& 1*.*-Z$*1%0*$ %.X X+0+-0*$ %$$%.[+1+.0 30

30 087 @9==BA4:936 B> 4> !2345 A9>9@839A4:936 @9>6B6: 9G 4 673B76 9G @=967=5 6D4@7C A7:4= D=4:76 :84: 4F693F 4== :87 34CB4:B9>6 7O@7D: :87 D434==7= F74A6H !234CB4:B9> =9>?73 :84> L% J B6 4F693F7C F5 :87 4:A96D873B@ ?4676H 08737G937 BG =9>?73 ;4<7=7>?:8 !23456 437 37\EB37CW :87 64AD=7 @9AD43:A7>: AE6: F7 G=E687C ;B:8 87=BEA 93 B: AE6: F7 7<4@E4:7C F5 DEADB>?H YB:8 G=4: @356:4=6W ED :9 iif 9G :87 !234CB4:B9> B6 CB<73?7>: ;8B@8 B6 4F693F7C F5 :87 @9==BA4:936H 087 =966 @4> F7 AB>BAB]7C GE3:873 F5 IJf E6B>? 4 @E3<7C @356:4= 6E3G4@7H 087 @E3<7C 6E3G4@7 4=69 4@@9AD=B6876 :87 G9@E6B>? 9G :87 CB<73?7>: F74A G39A :87 69E3@7 9> :87 7OB: @9==BA4:93H

33 XR''$%-0R.[ -$&,0%( /$*/+$0R+, -356:4= (4::B@7 ,D4@B>? CW A Y4<7=7>?: 8 34>?7W 4 A L A4O L AB> XB6D736B9>W J _ A 4: L A4O 4: L AB> Topaz 1.356 2.67 0.24 2.12 0.37 LiF 2.014 3.97 0.35 1.43 0.25 NaCl 2.820 5.55 0.49 1.02 0.18 EDDT b 4.404 8.67 0.77 0.65 0.11 ADP c 5.325 10.50 0.93 0.54 0.09 4 N467C 9> :87 466EAD:B9> :84: :87 A746E34F=7 34>?7 9G L& B6 G39A I`J J G93 L A4O :9 IJ ` G93 L AB> F +XX0 ^ +:85=7>7CB4AB>7 C2:43:34:7 @ %X/ ^ %AA9>BEA CB85C39?7> D896D84:7

34 087 E67GE= ;4<7=7>?:8 34>?7 G93 4 @356:4= B6 C7:73AB>7C F5 B:6 =4::B@7 6D4@B>? jC h 4>C :87 C7:7@:93 D39F=7A6 ;87> L& B6 AE@8 =766 :84> IJ J H 08B6 84DD7>6 ;87> & B6 4DD394@8B>? ]739 93 IbJ J H )>C73 :8767 @9>CB:B9>6W D9=5@839A4:B@ 34CB4:B9> 6@4::737C G39A :87 @356:4= 6E3G4@7 F7@9A76 <735 8B?8H 08737G937 9>=5 ED :9 I`J J SL&T 437 7AD=957C B> !2345 ;93UH -356:4=6 ;B:8 =43?7 @356:4= =4::B@7 6D4@B>? SCTW 6E@8 46 4AA9>BEA CB85C39?7> D896D84:7 9GG73 F7::73 @9>:39= 9<73 :87 6@4::73 @9>:39= FE: B: 376E=:6 B> =9;73 CB6D736B9> 4=69 H

XBGG737>:B4:B>? N34??h6 7\E4:B9>W ;7 ?7:W C & > LC @96 & C L Z7>@7 C&_CL :87 A746E37 9G CB6D736B9> B6 B><7367=5 D39D93:B9>4= :9 C H Z7>@7 =9; CB6D736B9> D398BFB:6 :87 E67 9G 6893:73 ;4<7=7>?:86H Z737 :9D4] 93 (B' AE6: F7 6EF6:B:E:7CH ^ 34

34 !2$%& X+0+-0*$, !2345 C7:7@:936 437 E6E4==5 9D734:7C 46 D89:9> @9E>:736H R> :8B6 A9C7W B>CB<BCE4= DE=676 9G :87 @843?7 437 D39CE@7C 46 \E4>:4 9G 34CB4:B9> ;8B@8 437 4F693F7C F5 :87 :34>6CE@73 4>C @9E>:7CH 08B6 37\EB376 34DBC 376D9>67 :BA76 G93 :87 :34>6CE@73 46 ;7== 46 :87 6B?>4= D39@76693H 08B6 :7@8>B\E7 B6 E67GE= G93 =9; B>:7>6B:5 !2345 F74A6H

34 [%, 'R((+X 0$%.,X)-+$, Y87> !23456 D466 :839E?8 4> B>73: ?46 6E@8 46 43?9>W O7>9> 93 U35D:9>W 4 =43?7 >EAF73 9G D96B:B<7 B9>6 4>C 7=7@:39>6 437 D39CE@7C G93 74@8 !2345 \E4>:EAH 08737G937W @9>CE@:B<B:5 9G :87 ?4676 B>@374676 G39A :8B6 D87>9A7>9>H R9>B]4:B9> @84AF736W D39D93:B9>4= @9E>:736 4>C [7B?73 :EF76 437 E67C :9 A746E37 :8B6 7>84>@7C @E337>:H % :5DB@4= ?46 GB==7C :34>6CE@73 B6 689;> 8737H 087 34CB4:B9> 7>:736 :87 @84AF73 :839E?8 4 :34>6D437>: ;B>C9; 9G AB@4 93 F735==BEA 93 4=EAB>EA 93 A5=43 6877:H +4@8 D89:9> 9G !234CB4:B9> B>:734@:6 ;B:8 9>7 4:9A 9G 43?9> 4>C @4E676 B: :9 =9967 9>7 9G B:6 9E:73 7=7@:39>6H 087 D89:9 7=7@:39> =9676 B:6 UB>7:B@ 7>73?5 F5 B9>B]B>? 67<734= 8E>C37C 4CCB:B9>4= 43?9> 4:9A6H 087 7=7@:39>6 A9<7 :9;43C :87 @7>:34= ;B37 4>9C7 4>C 43?9> @4:B9>6 A9<7 :9;43C6 :87 @5=B>C3B@4= A7:4= @4:89C7H

3 [%, 'R((+X X+0+-0*$ 8

%1/(R'R-%0R*. *' X+0+-0*$ ,R[.%(, 40

40 08B6 GB?E37 689;6 :87 7GG7@: 9G 4DD=B7C <9=:4?7 9> :87 >EAF73 9G 7=7@:39>6 374@8B>? :87 4>9C7 G93 74@8 D89:9>H 087 37?B9> V I # V L W689;6 :87 >EAF73 9G 7=7@:39>6 374@8B>? :87 4>9C7 ;8B@8 B6 G4B3=5 @9>6:4>: G93 74@8 D89:9>H R> :87 37?B9> V P 2V Q W:87 >EAF73 9G 7=7@:39>6 B>@374676 34DBC=5 ;B:8 4DD=B7C <9=:4?7H Z737 67@9>C435 B9> D4B3 D39CE@:B9> 9@@E36 CE7 :9 :87 @9==B6B9>6 F7:;77> :87 4@@7=734:7C 7=7@:39>6 4>C ?46 A9=7@E=76H 08737G937W E>C73 :8767 @9>CB:B9>6 4AD=BGB@4:B9> 9G :87 @E337>: 9@@E36H 087 37?B9> V K 2V ` 689;6 :84: 4AD=BGB@4:B9> 9G :87 7=7@:3B@4= BADE=67 B6 7>93A9E6 FE: :87 @E337>: B6 B>C7D7>C7>: 9G :87 :5D7 4>C 7>73?5 9G :87 B>@9AB>? 34CB4:B9>H 087 @E337>: B6 4@:E4==5 ?9<73>7C F5 :87 ?79A7:35 4>C ?46 D3766E37 9G :87 :EF7H 08B6 37?B9> B6 U>9;> 46 :87 [7B?73 37?B9>H

40 ,-R.0R((%0R*. -*).0+$, % 6@B>:B==4:B9> @9E>:73 @9>6B6:6 9G 4 :34>6D437>: @356:4= 9G 69CBEA B9CBC7 @9>:4B>B>? JHLf :84==BEA B9CBC7 684D7C B> :87 G93A 9G 4 @5=B>C73 684D7C POQ B>@8 B> 74@8 CBA7>6B9>H *>7 6E3G4@7 B6 D=4>7 ;8B@8 G4@76 :87 @4:89C7 9G 4 /10H %6 :87 B>@9AB>? 34CB4:B9> D46676 :839E?8 :87 @356:4=W B:6 7>73?5 B6 =96: :9 :87 6@B>:B==4:93 ;8B@8 B6 6EF67\E7>:=5 37=7467C B> :87 G93A 9G D89:9>6 9G G=E9376@7>@7 34CB4:B9>H 087 G=46876 9G =B?8: D39CE@7C 437 :34>6AB::7C :9 :87 D89:9@4:89C7 ;8B@8 B> :E3> D39CE@7 4> 7=7@:3B@4= DE=67 :84: @4> F7 4AD=BGB7C 4>C @9E>:7C .

40 !2$%& '()*$+,-+.-+ 1+0Z*X, %6 7OD=4B>7C 743=B73 :8737 437 :;9 :5D76 9G !$' B>6:3EA7>:6M Y4<7=7>?:8 CB6D736B<7 SYX!$'T 4>C 7>73?5 CB6D736B<7 S+X!$'TH R> YX!$' 4> !2345 F74A G39A 4 34CB94@:B<7 69E3@7 B6 @9==BA4:7C 4>C CB6D7367C B>:9 B:6 @9AD9>7>: ;4<7=7>?:86H N9:8 6B>?=7 @84>>7= S67\E7>:B4=T 93 AE=:B@84>>7= S6BAE=:4>79E6T C7:7@:B9> 656:7A6 437 7AD=957CH

40 R> 6B>?=7 @84>>7= B>6:3EA7>:6W :87 @356:4= 4>C :87 :34>6CE@73 437 67: 4: 6D7@BGB@ 4>?=76 S& k L& 376D7@:B<7=5T 4>C :87 @9E>:B>? D39?376676 E>:B= 6EGGB@B7>: @9E>:6 437 9F:4B>7C G93 D37@B67 A746E37A7>:6H 087 B>6:3EA7>: @4> F7 4E:9A4:7C :9 @9<73 :87 7>:B37 P`J J -H R> 6E@8 B>6:3EA7>: :8 7 A9<7A7> : 9G :8 7 @356:4 = 4> C C7:7@:93 437 65>@839>B]7C 4>C :87 9E:DE: B6 @9>>7@:7C :9 :87 C4:4 4@\EB6B:B9> 656:7AH 087 !2345 69E3@76 E67 @839ABEA G93 =9>? ;4<7=7>?:86 4>C :E>?6:7> :43?7: G93 6893: ;4<7=7>?:86H ,E@8 B>6:3EA7>:6 @96: 439E>C LK =4U8 $ED776H

40 1E=:B@84>>7= B>6:3EA7>:6 437 @96:=B73 Se IKJWJJJlTH 0875 437 E67GE= G93 :87 C7:73AB>4:B9> 9G ED :9 LQ 7=7A7>:6 6BAE=:4>79E6=5H R> :8767 B>6:3EA7>:6W B>CB<BCE4= @84>>7=6 9G 4> 4DD39D3B4:7 @356:4= 4>C 4 C7:7@:93 437 4334>?7C 34CB4==5 439E>C 4> !2345 69E3@7 4>C 64AD=7 89=C73 H 087 @356:4=6 G93 A96: 9G :87 @84>>7=6 437 GBO7C 4: 4> 4DD39D3B4:7 4>?=7 G93 4 ?B<7> 4>4=5:7 =B>7H '93 7<735 7=7A7>: :9 F7 C7:73AB>7C :8737 ;B== F7 4 C7CB@4:7C :34>6CE@73W 4AD=BGB73W DE=67 87B?8: C7:7@:93 4>C @9E>:73 93 B>:7?34:93H 08767 B>6:3EA7>:6 437 7\EBDD7C ;B:8 4 @9ADE:73 G93 D37@B67 B>6:3EA7>: @9>:39=W C4:4 D39@766B>? 4>C CB6D=45 9G 4>4=5:B@4= 376E=:6H 087 4>4=56B6 B6 E6E4==5 @9AD=7:7C ;B:8B> 4 G7; 67@9>C6 :9 4 G7; AB>E:76H

40 +.+$[& XR,/+$,RV+ !$' +X!$' 846 4 D9=5@839A4:B@ 69E3@7 6E@8 46 4> !2345 69E3@7 93 4 34CB94@:B<7 A4:73B4=W 4 64AD=7 89=C73W 4 67AB@9>CE@:93 C7:7@:936 4>C <43B9E6 7=7@:39>B@ @9AD9>7>:6 G93 7>73?5 CB6@3BAB>4:B9>H 087 4>4=5:B@4= A7:89C9=9?5 B6 <735 6BAD=7H 08737 437 >9 A9<B>? D43:6 4>C >9 @9==BA4:936 93 @356:4= CBGG34@:93H 08737G937 :87 7>73?5 374@8B>? :87 C7:7@:93 B6 IJJ :BA76 A937 :84> YX!$' B>6:3EA7>:6H Z7>@7 =9; D9;73 !2345 :EF76 93 ;74U73 34CB94@:B<7 A4:73B4=6 @4> F7 E67C 46 34CB4:B9> 69E3@76 ;8B@8 437 @96: 7GG7@:B<7 4>C A937 64G73 :9 E67 H

S4T ,@87A4:B@ C76B?> 9G +X!$' SFT 1436 1B66B9> $9<73 874C 40

40 087 67>693 874C B> :87 39<73 @9>:4B>6 ` @E3BEA2LQQ 69E3@76 :84: 7AB:6 !23456 4>C KHbI 17V a D43:B@=76H !2345 7AB66B9> B6 6:BAE=4:7C F5 F9AF43CA7>: F5 a 4>C 9:873 6EF4:9AB@ D43:B@=76 6E@8 46 D39:9>6 :9 D39CE@7 /43:B@=7 R>CE@7C !2345 +AB66B9> S/R!+TH 087 !2345 C7:7@:93 B6 4 >7; 399A :7AD734:E37 :5D7 :84: 7O8BFB:6 =9; >9B67 4>C 8B?8 6B?>4= :9 >9B67 34:B9 G93 A96: 9G :87 7=7A7>:6H

!$' X+0+$1R.%0R*. *' 1%$0R%. $*-a, R>:7>6B:5 @9E>:6 D73 67@9>C 40 +>73?5W U7V

40 R> AE=:B@84>>7= +X!$'W 4== :87 7AB::7C !2345 =B>76 437 A746E37C 6BAE=:4>79E6=5H 08737G937 B>@37467C 67>6B:B<B:5 4>C BAD39<7C 6B?>4= :9 >9B67 34:B9 437 9F:4B>7C S'7==?7:: 4C<4>:4?7TH RAD39<7C 3769=E:B9> 4: 6893:73 ;4<7=7>?:86 B6 4>9:873 4C<4>:4?7H

40 % F7>@8 :9D +X!$' B6 4<4B=4F=7 G93 :87 39E:B>7 C7:73AB>4:B9> 9G ED :9 IL 7=7A7>:6 34>?B>? G39A 69CBEA :9 E34>BEA B> B>CE6:3B4= 64AD=76H R> :8B6 R>6:3EA7>:W :87 34CB4:B9> G39A 4> !2345 :EF7 D46676 :839E?8 4> 4DD39D3B4:7 GB=:73 4>C 6:3BU76 :87 F9::9A 9G :87 39:4:B>? 64AD=7H 087 G=E9376@7>@7 6B?>4= D46676 9> :9 :87 64AD=7 C7:7@:93 S6B=B@9>T ;8B@8 D39<BC76 6B?>4=6 :9 :87 AE=:B@84>>7= @9E>:B>? 656:7AH 087 656:7A E676 4 389CBEA 4>9C7 !2345 :EF7 W GB<7 D39?34AA4F=7 GB=:736W 4 87=BEA DE3?7 656:7AW 4 :;7=<7 D96B:B<7 64AD=7 @84>?73 4>C 4 6DB>>73 :9 39:4:7 74@8 64AD=7 CE3B>? :87 C4:4 4@\EB6B:B9> D39@76676 :9 37CE@7 64AD=7 B> 89A9?7>7B:5H

% N+.-Z 0*/ !$' 1*X+( 40

40 +X!$' D=9:6 7>73?5 <6 B>:7>6B:5 S@D6TH 087 7>73?5 B6 B> U7VH gE4>:B:4:B<7 4>4=56B6 @4> F7 9F:4B>7C F5 A746E3B>? :87 D74U 87B?8:6H % 39E?8 76:BA4:7 9G :87 @9>@7>:34:B9> @4> F7 9F:4B>7C F5W / ! ^ / , H Y ! ;8737 / ! B6 :87 37=4:B<7 =B>7 B>:7>6B:5 A746E37C B> :73A6 9G >EAF73 9G @9E>:6 D73 GBO7C :BA7 W Y ! B6 :87 ;7B?8: G34@:B9> 9G :87 C76B37C 7=7A7>: B> :87 64AD=7 4>C / , B6 :87 37=4:B<7 B>:7>6B:5 9G :87 =B>7 E>C73 BC7>:B@4= @9>CB:B9>6 BG Y ! ;737 E>B:5H 087 <4=E7 9G / , B6 C7:73AB>7C ;B:8 4 6:4>C43C 64AD=7 9G U>9;> @9AD96B:B9> 93 DE37 7=7A7>:H

40 %.%(&0R-%( 1+0Z*X*(*[& 14:3BO 7GG7@:6M %F693D:B9> 9G :87 !23456 G39A 4:9A6 ;7== F7=9; :87 6E3G4@7H 087 7O:7>: 9G 4::7>E4:B9> C7D7>C6 ED9> :87 A466 4F693D:B9> @97GGB@B7>: 9G :87 A7CBEA 4>C B:6 @9AD96B:B9>H ,B?>4= C7@374676H +>84>@7A7>: 9G G=E9376@7>@7 A45 9@@E3 CE7 :9 :87 67@9>C435 7O@B:4:B9> 9G :87 4>4=5:B@4= =B>726B?>4= B>@374676H 08B6 7GG7@: @4> F7 AB>BAB]7C F5 E6B>? 4 @=967=5 A4:@87C 6:4>C43C6 7O@7D: :87 4CC7C 7=7A7>:H

40 %=:73>4:7=5W 4> B>:73>4= 6:4>C43C B6 B>:39CE@7C B> 4== :87 6:4>C43C6 4>C 64AD=76H *>7 @4> 4=69 CB=E:7 :87 64AD=7 4>C 6:4>C43C6 :84: 4F693F !23456 9>=5 ;74U=5H Y4:73W 93?4>B@ 69=<7>:6W 6:43@8W =B:8BEA @43F9>4:7W 4=EAB>4W F93B@ 4@BCW F934:7 ?=466 7:@HW Z737 A4:3BO 7GG7@:6 F7@9A7 7667>:B4==5 @9>6:4>:H

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d> B> 3B@7 64AD=76H

56 %XV%.0%[+, *' !$' SBT 087 6D7@:34 437 37=4:B<7=5 6BAD=7 4>C >9: 6EFm7@: :9 AE@8 B>:73G737>@7H SBBT .9> C76:3E@:B<7 :7@8>B\E7H Z7>@7 E67GE= G93 4>4=56B6 9G D4B>:B>?6W 43@879=9?B@4= 6D7@BA7>6W m7;7==735 W 4>:B\E7 B:7A6 7:@HW SBBBT ,D77C 4>C @9><7>B7>@7 9G :87 D39@7CE37H SB<T /37@B6B9> 4>C 4@@E34@5 437 @9AD434F=7 :9 76:4F=B687C A7:89C6 B> @=466B@4= :7@8>B\E76H

56 XR,%XV%.0%[+, *' !$' SBT 087 @9>@7>:34:B9> 34>?7 <43B76 G39A JHJI # IJJfH SBBT .9: E67GE= G93 =B?8: 7=7A7>:6 S=766 :84> LP %:H .EAF736TH SBBBT ZB?8 @96: 9G :87 B>6:3EA7>:6H

1 ATOMIC ABSORPTION SPECTROMETRY The phenomenon of atomic absorption was first discovered by Woolaston in 1802 in the spectrum of sunlight. Till then thought to be a continuous spectrum, Woolaston made a remarkable observation that the solar spectrum was in fact interrupted by ““dark lines”” which was later confirmed by Fraunhofer in 1814. However, Brewster put forward the idea that these dark lines denoted till then by alphabetical markers are in fact due to the presence of vapors of certain elements in the sun’’s atmosphere. Therefore, it follows that substances emitting specific radiations are also capable of absorbing the same, causing the spectrum of dark lines in the bright background.

2 This phenomenon generally known as Kirchoff’’s law was used to deduce the presence of oxygen, hydrogen, sodium, iron, calcium etc., in the solar spectrum. The experimental confirmation for this came from electric arc or spark, when the spectral source surrounded by atomic vapors also showed dark lines because of absorption of the emitted radiations. Foucalt in France also demonstrated the reversal of spectral lines.

FRAUNHOFFER LINES 3

FRAUNHOFFER LINES 4

5 In 1902, Wood repeated the experiments of Kirchoff and Foucalt and proved conclusively that by introducing sodium vapor in the optical path of sodium emission lines (589.0 and 589.6 nm), a reduction in the intensity of radiation occurs. By analogy with acoustic resonance lines, he also showed the possibility of using these resonance effects to detect traces of mercury. The potential of this technique was not recognized by analytical chemists and spectroscopists till 1924.

6 Angerer and Joose published the atomic spectra of iron group metals, followed by Frayne and Smita for indium, aluminum, gallium and tantalum. Muller and Pringshiem in 1930 published the first atomic absorption method of measuring the mercury content in air. Even this did not evoke interest in the analytical chemists for the determination of other elements.

7 Walsh, in 1955 developed the first real application of atomic absorption to chemical analysis. In the same year Alkamade and Miatz described a double beam method of spectral selection with two flames, the first being the source and the second as atomizer. Since then the atomic absorption spectrometry is in the forefront of chemical analysis. The first commercial atomic absorption instruments appeared in 1960s.

8 Spectacular advances in instrumentation, electronics, automation and computers over the years have made atomic absorption spectrometry, one of the most reliable analytical techniques of modern times perhaps equalled only by atomic emission spectrometry in terms of simplicity, sensitivity, specificity and speed of operation.

9 The development of electrothermal atomization by L’’vov and Massmann pushed the detection limits of atomic absorption technique to nanogram and picogram and sometimes even up to femtogram levels. Hydride generation atomic absorption spectrometry for arsenic, antimony, bismuth, selenium, tellurium, germanium, lead and cold vapor mercury determination have proved attractive accessories for atomic absorption technique to make it the first choice of analytical chemists throughout the world.

10 The popularity of the atomic absorption spectrometry can be gauged by the fact that more than 100 books, 10,000 publications and 5000 symposia and conferences till date have appeared with applications in biological, chemical, nuclear, industrial products, soils, environment etc.,

11 THEORETICAL CONCEPTS OF ATOMIC ABSORPTION The simplest concept of atomic structure is that of the positively charged nucleus containing protons and neutrons surrounded by an equal number of electrons orbiting in space in the electric field created by the protons. According to quantum mechanics, such a system can exist in a stable state only if its energy is quantized even at the lowest energy level or ground state. All other levels are excited levels, which can be induced by mechanical or electromagnetic means. The energies associated with these atomic states are in the range of a few electron volts represented by Grotian diagram. Such a diagram for sodium is shown in the next slide.

ENERGY LEVEL DIAGRAM FOR SODIUM 12

13 Emission of light occurs when an atom reverts to a state of lower energy. Bohr’’s equation expresses the conservation of energy by the relation: = E 1 –– E 2 / h (1) or L = c / = hc / E 1 –– E 2 where c is the velocity of light (2.99793 x 108 m/s), h is the Plank’’s constant (6.62 x 10 -34 in SI Units), v is the frequency, L is the wavelength and E 1 , E 2 are the energy levels of excited and ground states.

14 Inserting the numerical values, we get: L = 1.23978 / OE Thus a transition from the resonance level of sodium (2.102 electron volts) to ground state would correspond to the emission of: L = 1.23972 / 2.102 = 0.5986 µm or 589.6 nm

15 When a photon of frequency v interacts with an atom of energy E 2 , the atom may be able to absorb the photon thus raising it s energy to E 2 + h v , provided the new energy level is equal to one of the excited energy levels of that atom, Then we can write: v = E 1 –– E 2 / h (2) Comparison of equations 1 and 2 shows that ““An atom can only absorb the radiations that it is able to emit””. This forms the basis of spectrometry.

16 The fundamental difference between emission spectrometry and absorption spectrometry may be defined as: (i) For emission to occur, a number of atoms must be in the excited state. (ii) For atomic absorption to occur, a number of atoms must be in the ground state. The second condition is easily attained compared to the former in that, free atoms in the ground state can be easily generated in flame compared to the excited state, by flame emission.

17 The characteristic absorption wavelengths for an atom can be calculated once the energy levels are experimentally determined. But several wavelengths are never observed which proves that some sort of selection rules be developed. These rules were evolved empirically at first, and subsequently confirmed by applying quantum mechanical principles to the concept of transition probabilities. The probability of a spontaneous emission by transition between energy levels E 1 and E 2 is defined as the fraction of number of atoms that drop to lower level per unit time.

18 Mathematically, dN 1 € 2 = AN 1 dt (3) where A is the coefficient of proportionality termed as Einstein emission coefficient. Higher the probability of transition , th e greate r i s th e intensit y o f emission . The strongest emission lines correspond to values of A in the range of 10 8 to 10 9 / sec.

19 Similarly if N 2 atoms in the lower transition state are irradiated by a radiation of frequency v derived from equation (1) and the volume flux density q( v ), the number of d N 2-1 of atoms that will absorb the radiation in time dt is proportional to N 2 , q( v ) and dt. Hence, dN 2 € 1 = B 2-1 , N 2 q ( v ) dt (4)

20 The term B 2 € 1 is known as Einstein’’s absorption coefficient. Now a days, the term oscillator strength is being used to denote the relationship between B and the total number of electrons. B 2 € 1 = w e 2 L / m h c f 2,1 (5) where, e and m are the electronic charge and mass. Thus for sodium D lines, oscillator strength is 0.23 and 0.47 and for potassium they are 0.35 and 0.70.

21 The emission lifetime of any transition is approximately 10 -8 sec. However, if there are sufficient numbers of atoms, steady state emission or absorption phenomena can be observed within the experimental time frame. For atomic absorption to occur , intense emission of the desired element must be generated first. The radiations generated from electric dipole, magnetic dipole, electric quadrupole interactions give rise to such lines among which electric dipole are most important. Both Einstein emission (A) and absorption coefficients (þ) are non-zero, only if the levels involved are of opposite parity and if OJ = ±1.

22 Using these selection rules, resonance level of an atom may be defined as that of lowest excited energy level that can interact with the ground state by a transition of electric dipole type. The corresponding wavelength is known as the resonance line. Therefore, it follows that for a particular atom the resonance line is the most intense of highest oscillator strengths and only this line is useful for analysis provided the wavelengths are in the 200-600 nm range.

23 In practice, it is impossible to get a truly monochromatic line, but the energy is distributed symmetrically over a narrow waveband. The width of a spectral line is defined as the value of OL where the intensity is 50 percent of the total. This is called as half width. The shape and size of an absorption or emission band is affected by several factors such as natural broadening, Doppler broadening, pressure broadening and electric or magnetic field broadening etc.,

PROFILE OF A RESONANCE LINE 24

25 NATURAL BROADENING Due to the short lifetime of energy states, Heisenberg’’s uncertainty principle is applicable for all transitions. Thus a small broadening effect of the order of a few millionth of a nanometer at 250 nm occurs rising to about 10 -4 nm at 1µm. This natural width is influenced further by a variety of factors, chief among them being the disordered thermal motion of the atoms and various types of collisions of atoms.

2 DOPPLER BROADENING 6

27 If an atom emitting a radiation L moves with a velocity v relative to the observer, the observed wavelength L is given by, L = L + L v / c (6) where c is the velocity of light in the vacuum. Further, if the atoms are in thermal equilibrium at temperature T, their velocities will have a Maxwellian distribution.

28 The monochromatic absorption coefficient K as a function of L may be expressed as: K ( L ) = K ex p { [ - ( L - L ) / O L d 2 (l n 2 ) ½ ] 2 } (7) where OL d is the Doppler halfwidth related to T and the atomic mass M by the equation: O L d = 7.1 6 x 1 7 L ( T/ M ) 1/2 (8) The line is thus shown to have a Gaussian profile. It is possible to calculate the values of OL d at 2000, 2500 and 3000 K and the line widths for these temperatures are of the order of 30-50 mA.

29 PRESSURE BROADENING Since the atoms in the vapour state are in a perpetual state of motion, collision of atoms is inevitable causing radiation quanta of slightly differing frequencies to be absorbed or emitted. Several types of particles may be involved in the collisions. Interaction of electrically charged particles causes line broadening known as ‘‘Stark effect’’. Collisions with uncharged atoms lead to van Der waal’’s effect. Collisions between atoms of the same type leading to resonance broadening effect is referred as ‘‘Holtsmark’’ effect. Since it is difficult to differentiate between these three effects they are collectively referred as ‘‘Lorentz’’ broadening.

30 The broadening of spectral lines reduces the lifetime of the excited state of the atoms. It also increases the line profile of the radiation. The monochromatic absorption coefficient of the em radiation at a wavelength L is given by: K(L) = K / 1 + [2 (L - L ) O L] 2 (9) where K is the maximum absorption coefficient and OL is the half width. The profile of this distribution is flatter than Doppler broadening but both are almost of the same order. The half width OL is thus a fraction of the frequency of collision (Z), which in turn is a function of the temperature and the effective cross section defined by: O L = Z L 2 / w C (10)

31 It may be noted that both Doppler and Lorenz broadening occur simultaneously resulting in a similar but broader profile known as Voigt profile (KL) which may be mathematically expressed as: (11) œ K (  )  K o a /   e / a  (w - y) dy -y2 2 2 - œ Where a = OL L / OL D ( ln 2 ) 1/2 , w = L –– L / OL D 2 (ln 2 ) 1/2 , y = 2ð / OL D (ln 2 ) 1/2 and ð = distance to the point L at which K(L) and K are the calculated and the maximum value of the coefficient.

32 The curves are symmetrical with a maximum at L . Apart from Doppler and Lorenz effects, line broadening also occurs due to hyperfine structure exhibited by many resonance lines due to nuclear spin. Isotope shift of the resonance lines also contributes additionally to the line broadening. These effects are also significant but not as prominent. In essence, the sum total of all these line broadening effect is of the order of 0.0005-0.005nm, which increases with increasing temperature and pressure. The significance of peak width at half the peak height has a profound effect on the emission characteristics of radiation sources, (especially hollow cathode lamps) which will be discussed later.

33 MEASUREMENT OF ABSORPTION Based on quantum physical description given earlier, rigorous mathematical expressions have been derived to determine the absorption coefficient, its variation with N.f.l, effect of monochromator band width and also of optical density. However, for practical analytical purposes a physical understanding of these phenomena is more relevant which may be Interpreted as follows.

34 A very narrow frequency interval is essential for the absorption of resonance radiation. However, it is impossible to isolate and obtain high intensity of illumination in the range of 0.0005 –– 0.005 nm from continuum radiation sources. It would be too weak to be of any practical use. To overcome this difficulty, Walsh recommended that the radiation source should be made of the analyte element only. Therefore only the resonance line need to be separated from other spectral lines by a monochromator.

35 Assuming that a monochromator isolates a spectral band OS covering the absorption line L (resonance line), the total spectral energy received by the detector is : (13) = I O L S = Area of the rectangle ABCD (14) I    S / 2    S / 2 I d 

36 Now if a homogeneous gas having an absorption K(L) is interposed in a length of the radiation beam, the energy within the band L will decrease by the same amount but the spectral profile will have the same shape.

37 Instead of considering the radiation per unit volume, if the total radiant flux (0) is considered, then it may be proved that the absorption factor and hence optical density is proportional to the concentration of the free atoms and to the path length in the absorbing medium provided that the concentration is low and the spectral bandwidth is narrow. This is nothing but Beer –– Lambert’’s law which can be expressed as: tr = e ––x v N l (16) Where and tr are the radiant fluxes before and after absorption in the path length l, x v is the spectral absorption coefficient and N is the number of atoms.

38 This expression may be rearranged in the familiar form, Absorbance = A = Log / tr = 2.303 x v N L (17) The total number of free atoms in optical path cannot be determined but it is not necessary for routine applications, as atomic absorption is a relative technique like any other spectroscopic techniques.

39 The physical conditions for highest sensitivity may be summarized as follows: The absorption line should have lowest energy state and highest population of the atoms in the ground state. If several resonance lines are there, the one with highest oscillator strength has to be chosen. Employing a source of radiation, that emits a line of the same wavelength but with lower half width. Path length may be increased within practical limits in the absorbing medium since B-L law states that the absorption also increases according to the path length.

Employing these conditions, we can in principle, construct an atomic absorption spectrometer using a hollow cathode lamp made of the same element as the analyte, an atomizer to produce a population of ground state atoms, a monochromator with an entrance and exit slit for collection, dispersion and selection of resonance line, a detector for the measurement of radiation intensity followed by an amplifier and a read out device. A schematic diagram of such a system is shown here. Source Absorption Cell Monochromator Detector Amplifier Display 40

41 Depending upon the choice of the components and method of operations several variants of atomic absorption spectrometers result, which are enumerated below, Single beam DC instrument –– This is the simplest arrangement. The earliest AAS instruments were of this type. Single beam AC instrument –– By applying the pulsed current to the radiation source or by mechanically chopping the radiation before it enters the absorption cell. Double beam AC instrument –– By using a rotating mirror/chopper arrangement, the radiation is passed alternately through the flame and around the flame. Then it is possible to construct a double beam instrument. Both beams are recombined by a semitransparent mirror placed behind the flame. The electronics of the system is designed to yield directly the ratio of the transmitted radiation flux to that of the incident radiation. The stability is also better.

SCHEMATICS OF ATOMIC ABSORPTION SPECTROMETERS 42

43 Multi element Simultaneous AAS –– Use of radiation sources containing resonance lines of several elements focused in to the absorption cell permits simultaneous determination of several elements. However the optics and electronics need to be suitably modified to handle various signals readout and printouts. Electrothermal AAS –– By substituting the absorption cell (i.e flame) with an electrically heated graphite furnace, very efficient means of producing atomic vapor can be achieved. This technique has gained wide popularity since last 15 years permitting the quantitative determination in ppb levels (10 -9 g).

44 Hydride Generation AAS –– Arsenic, antimony, bismuth, selenium, tellurium, germanium, lead etc, are capable of forming their respective hydrides in acidic medium. These compounds easily dissociate into their metallic and non-metallic components which, when introduced into the flame (absorption cell ), permit not only their separation but also estimation in ppb levels (10 -9 g). Mercury cold vapor AAS –– Mercury has a unique property of being reduced to metallic form directly from its combined state and also has a significant vapor pressure which permits its determination at room temperature. It only needs to be transported to the absorption cell. This technique is known as cold vapor technique.

45 Over the years atomic absorption spectrometry as an analytical technique has been accepted as a standard method of analysis all over the world. An enormous amount of literature on the instrumentation, radiation, sources, atomization techniques, optics, signal handling and data presentation has been developed. The advent of computers has made it possible for maximum use of automation, instrument control and statistical data evaluation. On an average, more than 500 research papers are being published on the application of AAS to various matrices every year. Now we shall discuss the detailed aspects of atomic absorption spectroscopy.

46 AAS is the measurement of the absorption of em radiation by the atoms in the gaseous state. Free atoms do not undergo vibrational & rotational transitions but only electronic transitions. Such excited electron may return to ground state by atomic emission, atomic fluorescence or atomic absorption phenomena. The various energy states of an atom are described by n,l and inner quantum number J. Selection rules permit L = ±1 and n = any number.

For sodium atom the most loosely bound electron is designated by, 3s 2 S 1/2 € 3 p 2 p 1/2 ,3/2 4 p 2 p 1/2,3/2 n p 2 p 1/2,3/2 589.593 nm / 588.996 nm 330.294 nm / 330.234 nm In emission spectrum all possible lines are obtained. 47

48 Since all elements can be excited to their next higher energy level ,in theory any element can be determined by atomic absorption spectrometry. However, below 200 nm, analysis of As, Se, I, S , P etc., is difficult owing to the incipient absorption by oxygen and hot flame gases. Cerium ,Thorium and other refractive elements also present difficulty. Artificial and radioactive elements can not be analyzed by atomic absorption spectrometry .

49 THERMAL EXCITATION It must be appreciated that for atomic absorption to occur , we have to produce a population of atoms in the ground state. This can be achieved by exposing a sample of the analyte to high temperatures. At high temperatures prevailing in the flames, compounds decompose into ions, which in turn pick up electrons to produce atoms. The ratio of number of atoms N j in an excited state j to the number of atoms in the ground state N is given by, N j P j N P where P j & P are the statistical weights of the excited and ground states , k is the boltzmann’’s constant and T is the absolute temperature . = . e -Ej/KT
Tags