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

using model chemistry: mPW1PW91/6-31G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C1 1A
Energy calculated at mPW1PW91/6-31G*
 hartrees
Energy at 0K-323.661948
Energy at 298.15K-323.671847
Nuclear repulsion energy248.011465
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 mPW1PW91/6-31G*
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 3630 3443 7.81      
2 A 3538 3355 1.95      
3 A 3216 3050 740.52      
4 A 3170 3006 5.93      
5 A 3128 2967 20.72      
6 A 3070 2911 7.32      
7 A 3054 2896 72.56      
8 A 1901 1803 385.90      
9 A 1700 1612 36.73      
10 A 1547 1467 92.16      
11 A 1535 1455 210.30      
12 A 1494 1417 8.73      
13 A 1441 1367 10.70      
14 A 1391 1319 11.47      
15 A 1337 1268 4.73      
16 A 1322 1254 27.47      
17 A 1278 1212 57.60      
18 A 1166 1106 5.76      
19 A 1107 1050 6.02      
20 A 1044 990 11.58      
21 A 1020 968 109.11      
22 A 974 924 13.53      
23 A 933 885 26.94      
24 A 887 841 40.24      
25 A 827 784 22.24      
26 A 703 666 10.99      
27 A 583 553 2.97      
28 A 495 470 10.18      
29 A 415 393 14.40      
30 A 338 321 7.72      
31 A 299 283 8.98      
32 A 205 194 3.89      
33 A 91 86 0.39      

Unscaled Zero Point Vibrational Energy (zpe) 24419.4 cm-1
Scaled (by 0.9483) Zero Point Vibrational Energy (zpe) 23156.9 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 mPW1PW91/6-31G*
ABC
0.24124 0.08427 0.06665

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/6-31G*

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 1.895 0.576 0.144
C2 1.362 -0.695 -0.363
C3 0.013 -0.994 0.289
C4 -1.081 0.040 0.022
O5 -0.673 1.309 -0.052
O6 -2.240 -0.270 -0.086
H7 2.672 0.903 -0.421
H8 2.237 0.468 1.095
H9 2.045 -1.540 -0.207
H10 1.229 -0.585 -1.444
H11 -0.369 -1.959 -0.047
H12 0.141 -1.070 1.378
H13 0.319 1.332 0.053

Atom - Atom Distances (Å)
  N1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12 H13
N11.46822.45473.02562.67744.22721.01451.01592.14962.07683.40452.70281.7504
C21.46821.52762.57942.87213.63782.06642.05991.09821.09442.16722.15912.3169
C32.45471.52761.52892.42702.39693.34182.78052.16172.15651.09141.09872.3579
C43.02562.57941.52891.33441.20563.87543.51273.51012.80682.12352.13571.9047
O52.67742.87212.42701.33442.22503.38913.23873.94033.02363.28212.89210.9975
O64.22723.63782.39691.20562.22505.06124.68904.47183.73962.52132.90763.0225
H71.01452.06643.34183.87543.38915.06121.63512.53032.31104.19273.67802.4381
H81.01592.05992.78053.51273.23874.68901.63512.40012.92743.74022.61492.3475
H92.14961.09822.16173.51013.94034.47182.53032.40011.76312.45632.52143.3608
H102.07681.09442.15652.80683.02363.73962.31102.92741.76312.52933.06302.5974
H113.40452.16721.09142.12353.28212.52134.19273.74022.45632.52931.75553.3641
H122.70282.15911.09872.13572.89212.90763.67802.61492.52143.06301.75552.7486
H131.75042.31692.35791.90470.99753.02252.43812.34753.36082.59743.36412.7486

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 110.033 N1 C2 H9 112.981
N1 C2 H10 107.378 C2 N1 H7 111.367
C2 N1 H8 110.721 C2 C3 C4 115.113
C2 C3 H11 110.579 C2 C3 H12 109.512
C3 C2 H9 109.742 C3 C2 H10 109.553
C3 C4 O5 115.735 C3 C4 O6 122.008
C4 C3 H11 107.084 C4 C3 H12 107.611
C4 O5 H13 108.668 O5 C4 O6 122.240
H7 N1 H8 107.280 H9 C2 H10 107.042
H11 C3 H12 106.555
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.810      
2 C -0.225      
3 C -0.453      
4 C 0.614      
5 O -0.611      
6 O -0.473      
7 H 0.352      
8 H 0.345      
9 H 0.180      
10 H 0.202      
11 H 0.215      
12 H 0.199      
13 H 0.466      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  6.622 -1.243 0.602 6.764
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -38.070 1.749 -0.234
y 1.749 -36.811 0.086
z -0.234 0.086 -33.001
Traceless
 xyz
x -3.164 1.749 -0.234
y 1.749 -1.276 0.086
z -0.234 0.086 4.440
Polar
3z2-r28.879
x2-y2-1.259
xy1.749
xz-0.234
yz0.086


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.803 0.448 0.117
y 0.448 6.288 -0.016
z 0.117 -0.016 5.107


<r2> (average value of r2) Å2
<r2> 170.472
(<r2>)1/2 13.056