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All results from a given calculation for NH2CH2CH2COOH (β–alanine)

using model chemistry: PBE1PBE/6-31G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C1 1A
Energy calculated at PBE1PBE/6-31G*
 hartrees
Energy at 0K-323.381434
Energy at 298.15K-323.391332
HF Energy-323.381434
Nuclear repulsion energy248.044154
The energy at 298.15K was derived from the energy at 0K and an integrated heat capacity that used the calculated vibrational frequencies.
Vibrational Frequencies calculated at PBE1PBE/6-31G*
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 A 3627 3447 8.19      
2 A 3534 3358 2.09      
3 A 3205 3046 745.83      
4 A 3167 3010 5.18      
5 A 3124 2968 19.64      
6 A 3066 2913 6.75      
7 A 3049 2898 71.96      
8 A 1903 1808 385.47      
9 A 1695 1611 37.08      
10 A 1544 1467 184.63      
11 A 1532 1456 117.38      
12 A 1487 1413 9.08      
13 A 1437 1366 10.85      
14 A 1388 1319 13.12      
15 A 1334 1268 6.18      
16 A 1320 1255 27.81      
17 A 1276 1213 51.94      
18 A 1163 1105 5.91      
19 A 1109 1054 5.76      
20 A 1043 991 11.52      
21 A 1021 970 108.59      
22 A 975 926 13.01      
23 A 932 886 26.86      
24 A 887 843 38.37      
25 A 827 786 23.34      
26 A 703 668 10.74      
27 A 583 554 2.91      
28 A 495 470 10.22      
29 A 415 395 14.36      
30 A 338 322 7.58      
31 A 299 285 9.09      
32 A 205 195 3.88      
33 A 91 86 0.38      

Unscaled Zero Point Vibrational Energy (zpe) 24386.3 cm-1
Scaled (by 0.9503) Zero Point Vibrational Energy (zpe) 23174.3 cm-1
See section III.C.1 List or set vibrational scaling factors to change the scale factors used here.
See section III.C.2 Calculate a vibrational scaling factor for a given set of molecules to determine the least squares best scaling factor.
Rotational Constants (cm-1) from geometry optimized at PBE1PBE/6-31G*
ABC
0.24130 0.08433 0.06671

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBE1PBE/6-31G*

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 1.894 0.575 0.143
C2 1.360 -0.694 -0.364
C3 0.014 -0.993 0.291
C4 -1.080 0.041 0.023
O5 -0.672 1.309 -0.051
O6 -2.240 -0.270 -0.088
H7 2.672 0.901 -0.422
H8 2.237 0.465 1.094
H9 2.045 -1.541 -0.211
H10 1.224 -0.583 -1.446
H11 -0.370 -1.961 -0.041
H12 0.144 -1.065 1.381
H13 0.321 1.330 0.055

Atom - Atom Distances (Å)
  N1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12 H13
N11.46762.45273.02392.67564.22571.01541.01692.15082.07753.40442.69861.7470
C21.46761.52692.57762.87033.63552.06642.05921.09961.09592.16852.15912.3139
C32.45271.52691.52862.42592.39703.34102.77752.16262.15681.09271.10012.3554
C43.02392.57761.52861.33411.20603.87483.51163.51002.80322.12432.13681.9044
O52.67562.87032.42591.33412.22553.38853.23823.94023.02023.28312.88980.9987
O64.22573.63552.39701.20602.22555.06054.68864.47093.73432.52112.91123.0233
H71.01542.06643.34103.87483.38855.06051.63652.53052.31254.19413.67502.4366
H81.01692.05922.77753.51163.23824.68861.63652.40082.92873.73782.60832.3454
H92.15081.09962.16263.51003.94024.47092.53052.40081.76512.45712.52433.3595
H102.07751.09592.15682.80323.02023.73432.31252.92871.76512.53273.06452.5944
H113.40442.16851.09272.12433.28312.52114.19413.73782.45712.53271.75763.3640
H122.69862.15911.10012.13682.88982.91123.67502.60832.52433.06451.75762.7435
H131.74702.31392.35541.90440.99873.02332.43662.34543.35952.59443.36402.7435

picture of β–alanine state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
N1 C2 C3 109.966 N1 C2 H9 113.036
N1 C2 H10 107.390 C2 N1 H7 111.351
C2 N1 H8 110.645 C2 C3 C4 115.040
C2 C3 H11 110.652 C2 C3 H12 109.476
C3 C2 H9 109.777 C3 C2 H10 109.538
C3 C4 O5 115.694 C3 C4 O6 122.013
C4 C3 H11 107.094 C4 C3 H12 107.636
C4 O5 H13 108.594 O5 C4 O6 122.278
H7 N1 H8 107.264 H9 C2 H10 107.023
H11 C3 H12 106.561
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBE1PBE/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.809      
2 C -0.229      
3 C -0.456      
4 C 0.607      
5 O -0.607      
6 O -0.467      
7 H 0.352      
8 H 0.346      
9 H 0.180      
10 H 0.203      
11 H 0.216      
12 H 0.199      
13 H 0.465      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  6.615 -1.228 0.605 6.755
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -38.082 1.757 -0.238
y 1.757 -36.893 0.080
z -0.238 0.080 -33.086
Traceless
 xyz
x -3.093 1.757 -0.238
y 1.757 -1.308 0.080
z -0.238 0.080 4.401
Polar
3z2-r28.802
x2-y2-1.190
xy1.757
xz-0.238
yz0.080


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.825 0.448 0.120
y 0.448 6.304 -0.015
z 0.120 -0.015 5.125


<r2> (average value of r2) Å2
<r2> 170.406
(<r2>)1/2 13.054