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

using model chemistry: HSEh1PBE/3-21G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C1 1A
Energy calculated at HSEh1PBE/3-21G
 hartrees
Energy at 0K-321.630422
Energy at 298.15K-321.640513
HF Energy-321.630422
Nuclear repulsion energy247.633677
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 HSEh1PBE/3-21G
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 3551 3421 11.35      
2 A 3451 3324 4.05      
3 A 3173 3056 3.41      
4 A 3139 3024 12.60      
5 A 3072 2959 10.77      
6 A 3067 2955 26.02      
7 A 2462 2372 1026.76      
8 A 1837 1770 469.39      
9 A 1707 1644 42.47      
10 A 1622 1563 235.22      
11 A 1555 1498 9.10      
12 A 1515 1460 11.11      
13 A 1428 1376 11.10      
14 A 1383 1332 7.84      
15 A 1342 1293 8.04      
16 A 1310 1262 20.96      
17 A 1253 1207 112.00      
18 A 1245 1199 117.90      
19 A 1173 1130 21.44      
20 A 1077 1038 6.63      
21 A 1024 987 22.80      
22 A 966 931 6.29      
23 A 931 897 37.77      
24 A 867 835 49.80      
25 A 807 777 17.22      
26 A 704 679 14.46      
27 A 583 562 4.96      
28 A 499 480 12.49      
29 A 440 423 9.99      
30 A 387 372 13.64      
31 A 350 337 7.05      
32 A 211 204 4.97      
33 A 92 88 0.45      

Unscaled Zero Point Vibrational Energy (zpe) 24111.8 cm-1
Scaled (by 0.9633) Zero Point Vibrational Energy (zpe) 23226.9 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 HSEh1PBE/3-21G
ABC
0.23724 0.08589 0.06751

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/3-21G

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 1.712 0.563 0.145
C2 1.261 -0.747 -0.387
C3 -0.050 -1.065 0.315
C4 -1.029 0.061 0.028
O5 -0.380 1.246 -0.032
O6 -2.228 -0.087 -0.115
H7 2.429 1.004 -0.436
H8 2.057 0.490 1.106
H9 1.972 -1.580 -0.278
H10 1.073 -0.611 -1.458
H11 -0.481 -2.025 0.023
H12 0.122 -1.092 1.401
H13 0.612 1.109 0.072

Atom - Atom Distances (Å)
  N1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12 H13
N11.48512.40582.78912.20784.00221.02251.02392.20042.08733.39492.61641.2302
C21.48511.52072.46292.60583.56122.10592.09671.10061.09492.19882.14802.0196
C32.40581.52071.51952.36052.42633.31562.73602.16882.14721.09171.10022.2863
C42.78912.46291.51951.35231.21703.61403.29703.43342.66002.15652.13091.9477
O52.20782.60582.36051.35232.28022.84832.79433.68472.75543.27292.78801.0069
O64.00223.56122.42631.21702.28024.79434.49324.46043.60252.61292.97223.0877
H71.02252.10593.31563.61402.84834.79431.66752.62922.34344.22553.61791.8898
H81.02392.09672.73603.29702.79434.49321.66752.49192.95873.73382.51641.8817
H92.20041.10062.16883.43343.68474.46042.62922.49191.77122.51082.54533.0340
H102.08731.09492.14722.66002.75543.60252.34342.95871.77122.57043.05102.3483
H113.39492.19881.09172.15653.27292.61294.22553.73382.51082.57041.77053.3199
H122.61642.14801.10022.13092.78802.97223.61792.51642.54533.05101.77052.6174
H131.23022.01962.28631.94771.00693.08771.88981.88173.03402.34833.31992.6174

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 106.331 N1 C2 H9 115.843
N1 C2 H10 107.031 C2 N1 H7 112.940
C2 N1 H8 112.067 C2 C3 C4 108.215
C2 C3 H11 113.623 C2 C3 H12 109.028
C3 C2 H9 110.642 C3 C2 H10 109.270
C3 C4 O5 110.426 C3 C4 O6 124.537
C4 C3 H11 110.279 C4 C3 H12 107.786
C4 O5 H13 110.440 O5 C4 O6 125.034
H7 N1 H8 109.146 H9 C2 H10 107.550
H11 C3 H12 107.753
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.736      
2 C -0.311      
3 C -0.567      
4 C 0.680      
5 O -0.617      
6 O -0.505      
7 H 0.326      
8 H 0.321      
9 H 0.232      
10 H 0.260      
11 H 0.261      
12 H 0.246      
13 H 0.408      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  7.369 -1.575 0.629 7.561
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -37.558 2.702 -0.226
y 2.702 -37.300 0.278
z -0.226 0.278 -32.917
Traceless
 xyz
x -2.449 2.702 -0.226
y 2.702 -2.063 0.278
z -0.226 0.278 4.512
Polar
3z2-r29.024
x2-y2-0.257
xy2.702
xz-0.226
yz0.278


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.279 0.571 0.123
y 0.571 5.642 -0.053
z 0.123 -0.053 4.538


<r2> (average value of r2) Å2
<r2> 168.820
(<r2>)1/2 12.993