Vibrations of CH4: Finding A1 Coordinates

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Discussion Overview

The discussion revolves around finding the normal vibration coordinates of the A1 representation for methane (CH4) in relation to the atomic coordinates of its constituent atoms. Participants explore theoretical and computational approaches to normal mode analysis, including the use of quantum mechanical software.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • One participant seeks assistance in determining the normal vibration coordinate of the A1 representation using the coordinates of the carbon and hydrogen atoms.
  • Another participant suggests using computational software like Gaussian or Molpro for normal mode analysis, noting that manual calculations are complex.
  • Several participants agree that CH4 has 9 normal modes, with one participant stating the normal mode representation as A1 + E + T1 + 3T2, indicating one mode of symmetry A1.
  • One participant expresses uncertainty about their calculations and seeks confirmation regarding their findings related to the normal mode coordinate Q.
  • Another participant admits to a lack of familiarity with the topic but expresses interest in learning and contributing to the calculations.
  • Discrepancies arise regarding the symmetry representations, with one participant correcting another about the absence of E2 in the Td group symmetry of CH4.
  • Participants share numerical data related to normal coordinates, frequencies, reduced masses, force constants, and infrared intensities, but express difficulty in understanding the information presented.

Areas of Agreement / Disagreement

Participants generally agree on the number of normal modes for CH4 and the presence of the A1 symmetry mode, but there are conflicting views on the specific symmetry representations and the calculations involved. The discussion remains unresolved regarding the correctness of individual calculations and interpretations.

Contextual Notes

Some participants express uncertainty about the definitions of symmetry representations and the calculations involved in determining normal modes. There are indications of missing assumptions and unresolved mathematical steps in the discussion.

physicist888
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someone could help me to know how to find the normal vibration coordinate of the A1 representation in terms of the coordinates x,y and z of each atomes ( given: we take the carbone atome as a center of the x,y and z axis ).
 
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its really simple if u use some quantum mechanical software like Gaussian, Molpro, etc...but i think its not very easy to computer using hand...If u want to know pls. refer this book..
Molecular Vibrations by Wilson, Decius and Cross..this is a good book for normal mode analysis...
PS: Nowadays no one using their brain to calculate by such coordinates...Just read and understand the theory..and use computational software...its easy...For e.g., CH4 has 5*3-6=9 Normal modes.
 
i know that it has 9 normal modes. I've write the normal mode representation in terms of the basis representations, and I've found it equal to A1 + E + T1 + 3T2 , that's mean that there's one mode of symetry A1, and to solve my exercise i should find the normal mode coordinate Q in terms of x,y and z as I've asked before.
the mode of symetry A1 is the stretching out of all the CH . I've calcule the projections , and I've found a result. i don't know if its right or not. and i need to be sure about my answer. i hope you could give me a hand with that.
 
hi

Hi I am not very familiar.I just started working with such things...so thought of helping u with my low level of knowledge:rolleyes:...first of all i don't understand by basis representations...But interested to learn from u..how u calculated it...if u have some time..pls reply me...
In ur case..for CH4 (Methane)..i.e., it has Td group. With normal modes A1+A2+E2+3T1+3T2. Again i don't know whether its correct or not!just check it...btw now its holydays..but if this is not so urgent...we can or i can try to make some calculation..off course with softwares:smile:...let u know...
Rajini
 
man, there're now E2 in the group Td. I've did the calculation and I am sure about it.
the normal representation = A1 + E + T1 + 3T2 .
ive calcule the normal mode Q in terms of x1,y1,z1, x2,y2... which are the coordinates of the hydrogen atoms. but I am not sure about it. i just want to be sure, and i don't have a lot of time for that. so if you could give me a hand, really ill appreciate that.
and about teaching you about the calculation, no prob i will.
 
hi..can u tell me in brief...what does A1, A2, symmetry means...does it same as Ag, Au..today i will try to find out normal modes for ur CH4..
 
hey..im always waiting your results...hope youll reply me soon
 
normal coordinates:
1 2 3
A' A" A'
Frequencies -- 1310.4290 1310.4755 1310.7241
Red. masses -- 1.1791 1.1791 1.1790
Frc consts -- 1.1930 1.1930 1.1934
IR Inten -- 11.9592 11.9658 11.9521
Atom AN X Y Z X Y Z X Y Z
1 6 0.12 -0.01 -0.00 0.00 -0.00 0.12 0.01 0.12 0.00
2 1 -0.60 0.00 0.00 -0.00 -0.00 -0.60 -0.05 0.09 -0.00
3 1 0.03 -0.17 0.00 0.00 0.00 -0.60 -0.23 -0.54 -0.00
4 1 -0.45 0.17 -0.25 -0.27 -0.19 -0.14 0.06 -0.51 -0.21
5 1 -0.45 0.17 0.25 0.27 0.19 -0.14 0.06 -0.51 0.21
4 5 6
A" A' A'
Frequencies -- 1531.2293 1531.2985 3025.1364
Red. masses -- 1.0078 1.0078 1.0078
Frc consts -- 1.3922 1.3924 5.4341
IR Inten -- 0.0000 0.0000 0.0001
Atom AN X Y Z X Y Z X Y Z
1 6 -0.00 -0.00 0.00 0.00 -0.00 -0.00 0.00 0.00 -0.00
2 1 0.00 -0.00 0.50 0.50 -0.01 -0.00 0.01 0.50 -0.00
3 1 0.00 0.00 -0.50 0.17 0.47 0.00 0.47 -0.17 -0.00
4 1 -0.28 0.41 -0.00 -0.34 -0.23 -0.29 -0.24 -0.16 0.41
5 1 0.28 -0.41 -0.00 -0.34 -0.23 0.29 -0.24 -0.16 -0.41
7 8 9
A" A' A'
Frequencies -- 3146.3090 3146.3337 3146.8136
Red. masses -- 1.1016 1.1016 1.1016
Frc consts -- 6.4249 6.4249 6.4271
IR Inten -- 20.9966 20.9909 20.9555
Atom AN X Y Z X Y Z X Y Z
1 6 0.00 0.00 0.09 0.09 0.00 -0.00 0.00 -0.09 0.00
2 1 0.00 -0.00 0.02 0.02 -0.03 -0.00 0.01 0.86 0.00
3 1 -0.00 0.00 0.02 -0.75 0.29 -0.00 -0.30 0.09 0.00
4 1 0.34 0.23 -0.57 -0.18 -0.14 0.35 0.13 0.07 -0.23
5 1 -0.34 -0.23 -0.57 -0.18 -0.14 -0.35 0.13 0.07 0.23
 
the above are the normal coordinates...total 9. first 3 are A', A'' and A' and their freq. are respectively (1310.429, etc)...the coordinates for A' is 0.12 -0.01 and -0.00. Pls. try to understand it...if u want a clear file..then send me ur email...for 5 atoms with 5 diff. corredinates..
have fun
 
  • #10
actualy its hard to understand it like this. here you are my email, and I am connected on msn at the moment, so maybe be we could have a conversation about that. land__life@hotmail.com
 
  • #11
is that what u r looking for!
 

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