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

using model chemistry: PBEPBE/cc-pVDZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C1 1A
Energy calculated at PBEPBE/cc-pVDZ
 hartrees
Energy at 0K-323.393347
Energy at 298.15K-323.403127
Nuclear repulsion energy245.981552
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 PBEPBE/cc-pVDZ
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 3470 3450 5.14      
2 A 3385 3366 0.52      
3 A 3061 3043 6.59      
4 A 3012 2995 21.66      
5 A 2962 2944 11.82      
6 A 2951 2934 423.70      
7 A 2926 2910 498.81      
8 A 1798 1787 355.91      
9 A 1580 1570 20.41      
10 A 1479 1470 187.36      
11 A 1434 1426 4.22      
12 A 1383 1375 6.92      
13 A 1359 1351 13.47      
14 A 1306 1299 20.29      
15 A 1261 1254 3.63      
16 A 1240 1233 22.11      
17 A 1204 1197 64.11      
18 A 1104 1097 7.56      
19 A 1057 1051 5.41      
20 A 1017 1011 57.29      
21 A 990 984 17.64      
22 A 934 929 0.91      
23 A 895 889 22.60      
24 A 842 837 33.05      
25 A 788 783 18.44      
26 A 672 668 8.70      
27 A 560 557 1.71      
28 A 479 476 8.92      
29 A 402 400 11.09      
30 A 327 325 6.59      
31 A 299 297 12.72      
32 A 204 203 3.34      
33 A 93 93 0.23      

Unscaled Zero Point Vibrational Energy (zpe) 23235.7 cm-1
Scaled (by 0.9942) Zero Point Vibrational Energy (zpe) 23101.0 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 PBEPBE/cc-pVDZ
ABC
0.23688 0.08334 0.06575

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/cc-pVDZ

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 1.893 0.588 0.145
C2 1.374 -0.703 -0.361
C3 0.014 -1.005 0.283
C4 -1.087 0.039 0.023
O5 -0.666 1.321 -0.057
O6 -2.262 -0.266 -0.082
H7 2.699 0.901 -0.412
H8 2.239 0.475 1.110
H9 2.073 -1.554 -0.193
H10 1.250 -0.600 -1.460
H11 -0.375 -1.982 -0.062
H12 0.138 -1.093 1.387
H13 0.345 1.313 0.053

Atom - Atom Distances (Å)
  N1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12 H13
N11.48042.46713.03252.66974.24781.02881.03082.17582.09743.43332.72891.7117
C21.48041.53492.59892.88993.67262.08092.07341.11391.11032.18682.17642.3008
C32.46711.53491.54012.44772.42083.36542.79732.18302.17501.10641.11432.3531
C43.03252.59891.54011.35151.21853.90723.52653.54522.84052.14472.15511.9169
O52.66972.88992.44771.35152.25113.41013.24343.97323.05463.31592.92571.0173
O64.24783.67262.42081.21852.25115.10724.71504.52313.78742.55052.93293.0512
H71.02882.08093.36543.90723.41015.10721.64542.54282.33434.22833.71092.4346
H81.03082.07342.79733.52653.24344.71501.64542.41672.95533.77382.63642.3253
H92.17581.11392.18303.54523.97324.52312.54282.41671.78642.48772.54033.3562
H102.09741.11032.17502.84053.05463.78742.33432.95531.78642.54993.09612.6011
H113.43332.18681.10642.14473.31592.55054.22833.77382.48772.54991.77623.3745
H122.72892.17641.11432.15512.92572.93293.71092.63642.54033.09611.77622.7588
H131.71172.30082.35311.91691.01733.05122.43462.32533.35622.60113.37452.7588

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 109.796 N1 C2 H9 113.242
N1 C2 H10 107.250 C2 N1 H7 110.770
C2 N1 H8 110.015 C2 C3 C4 115.385
C2 C3 H11 110.722 C2 C3 H12 109.454
C3 C2 H9 109.983 C3 C2 H10 109.580
C3 C4 O5 115.509 C3 C4 O6 122.261
C4 C3 H11 107.131 C4 C3 H12 107.482
C4 O5 H13 107.190 O5 C4 O6 122.218
H7 N1 H8 106.045 H9 C2 H10 106.870
H11 C3 H12 106.227
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.174      
2 C -0.018      
3 C -0.065      
4 C 0.108      
5 O -0.161      
6 O -0.217      
7 H 0.101      
8 H 0.101      
9 H 0.034      
10 H 0.056      
11 H 0.045      
12 H 0.053      
13 H 0.138      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  6.328 -1.020 0.578 6.435
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -37.672 1.838 -0.089
y 1.838 -37.067 0.139
z -0.089 0.139 -33.541
Traceless
 xyz
x -2.368 1.838 -0.089
y 1.838 -1.460 0.139
z -0.089 0.139 3.828
Polar
3z2-r27.656
x2-y2-0.605
xy1.838
xz-0.089
yz0.139


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.602 0.405 0.089
y 0.405 6.931 -0.021
z 0.089 -0.021 5.518


<r2> (average value of r2) Å2
<r2> 172.600
(<r2>)1/2 13.138