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Group theory and symmetry by mohammad nadeem parray, Assignments of Physical Chemistry

Symmetry ........... .. ................ mohammmad nadeem parray

Typology: Assignments

2020/2021

Uploaded on 06/25/2021

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Raman Active Vibrations Vibrations that bring change
in the
polarizability of molecule are Raman aclive.
Mi aE
4=«Ex=polorizibility of
The moleule. I
00.
Fan
Resolved the induced depole moment li into three
components Electric field can also be resolved
Induced depole along x-co-ordinate
ve Hi
czi
Induced dipole
that only by
anoment (Mix) is net up
Ex but also by Ey'a
loco -LokEx +ksy by + Kryez Ezin ayMeya
daqa Ext day European area oMez= d zx Ex +Czy Eyt
Lzz & C o
Mac =230 Ex +846 +Iza Es ,:སཎ ནོོ དྲུ་ཚ།།y2
6.
=༧རྒྱན ཚེv*སྨྲ་དང་ ངོ་མ་བོད་ polonizablity in
one direction is also Influenced by the electis lielel in
pf3
pf4
pf5

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Raman A ctive Vibrations Vibrations that bring change in the polarizability of molecule are Raman aclive. Mi a E 4 = «E x= polorizibility of The moleule. I 00. Fan Resolved the induced depole moment li into three components Electric field can also be resolved Induced depole along x-co-ordinate ve Hi czi Induced dipole that only by anoment (Mix) is net up Ex but also by Ey'a l oco - Lok Ex + ksy by + Kryez Ezin ay Meya daqa Ext day European area o Mez= d zx Ex + Czy Eyt Lzz & C o Mac = 230 Ex + 846 + Iza Es ༥,:སཎ ༦ ནོོ དྲུ ་ཚ།།《y

= ༧རྒྱ ན ཚེ v * སྨྲ ་དང་། ངོ ་མ་བོ ད་ polonizablity in one direction is also Influenced by the electis lielel in

other chrection. polorizability is tensor combonents = 19 z z | Kay, Lez, duzi ) G- polarisability counporn Lz

| 2pth he. Al > ball * * * P) 99 ) ) 29.5 us7 1จร - บจ 4 3” สุดน่งเจ) 2) > Ps & fas, т. aba binar product Styliza, det rysy 21 2 for components which are now zero Vibration Raman active Example Hoe (symmetric stretching er bendiy) I'| | * | , 11 โ] 1

a Ya Xo = (Qu+ Qap) ( but boa)

  • alubit all baat Azabut (Xде = Xд х for breat product С. | E C, O, Go " A to da 4 | т т т (z А – А., А ) г - 1 - 1 Ra 1 т т 1 - А, В, Іт - 1 1 - 1x го -1 -1 - А, В, І Т -1 -1 г 11-1-1-(A2) Alte Bi 1 AM

1 - 1 : В 1 1 1 1

Rules of clireed product 2 product of two Irreducable representations of ID produces the io irreducable rep. Aix Aza Az

B Product of ID irreclucable representation with Multidimensional ineducable rede produces multiel. representation (lirreducable). AiXT = Product of two multidimensional reb produces multidimensional redlucable rep. Miod yoo :growl mod

Aia'!! - 1 1 -1-A 2 ' AiA -1 -1 -1 = Ai al 3 3 5 3 el b = 93

  • ha h le