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

using model chemistry: PBEPBEultrafine/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 PBEPBEultrafine/6-31G*
 hartrees
Energy at 0K-323.364715
Energy at 298.15K-323.374463
HF Energy-323.364715
Nuclear repulsion energy245.893590
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 PBEPBEultrafine/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 3493 3436 3.94      
2 A 3401 3345 0.53      
3 A 3071 3020 7.26      
4 A 3030 2980 21.52      
5 A 2971 2922 8.53      
6 A 2956 2908 49.97      
7 A 2915 2867 803.80      
8 A 1810 1780 344.68      
9 A 1639 1612 27.79      
10 A 1501 1476 189.64      
11 A 1485 1461 38.58      
12 A 1441 1417 6.72      
13 A 1383 1360 12.14      
14 A 1329 1307 10.61      
15 A 1285 1264 1.75      
16 A 1260 1240 20.21      
17 A 1215 1195 77.39      
18 A 1120 1102 6.38      
19 A 1060 1042 4.91      
20 A 1018 1002 67.48      
21 A 1002 986 33.48      
22 A 938 923 1.47      
23 A 903 888 27.47      
24 A 848 834 39.61      
25 A 790 777 17.33      
26 A 671 660 9.52      
27 A 558 549 2.01      
28 A 478 470 10.20      
29 A 406 399 12.42      
30 A 332 326 6.52      
31 A 298 293 11.37      
32 A 201 198 3.58      
33 A 90 89 0.28      

Unscaled Zero Point Vibrational Energy (zpe) 23448.4 cm-1
Scaled (by 0.9835) Zero Point Vibrational Energy (zpe) 23061.5 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 PBEPBEultrafine/6-31G*
ABC
0.23639 0.08324 0.06566

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

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 1.857 0.577 0.128
C2 1.340 -0.714 -0.370
C3 -0.001 -1.017 0.314
C4 -1.077 0.043 0.029
O5 -0.594 1.301 -0.031
O6 -2.254 -0.221 -0.116
H7 2.621 0.924 -0.457
H8 2.219 0.478 1.081
H9 2.035 -1.568 -0.233
H10 1.180 -0.600 -1.455
H11 -0.394 -2.000 0.016
H12 0.154 -1.049 1.410
H13 0.395 1.261 0.081

Atom - Atom Distances (Å)
  N1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12 H13
N11.47682.45472.98332.56064.19451.02321.02452.18212.08573.42352.68131.6141
C21.47681.53572.56412.81403.63682.08102.07351.10881.10322.19362.16552.2351
C32.45471.53571.53732.41792.42823.35212.78432.17822.16771.09991.10742.3236
C42.98332.56411.53731.34891.21523.83243.48723.51322.77622.15382.14851.9109
O52.56062.81402.41791.34892.25393.26553.13523.89642.96463.30742.85700.9966
O64.19453.63682.42821.21522.25395.01954.68324.49633.70482.57642.96883.0418
H71.02322.08103.35213.83243.26555.01951.65072.56942.32314.22683.66992.3149
H81.02452.07352.78433.48723.13524.68321.65072.43872.94563.75602.59012.2223
H92.18211.10882.17823.51323.89644.49632.56942.43871.77812.47962.55083.2841
H102.08571.10322.16772.77622.96463.70482.32312.94561.77812.56953.07682.5372
H113.42352.19361.09992.15383.30742.57644.22683.75602.47962.56951.77433.3553
H122.68132.16551.10742.14852.85702.96883.66992.59012.55083.07681.77432.6759
H131.61412.23512.32361.91090.99663.04182.31492.22233.28412.53723.35532.6759

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 109.127 N1 C2 H9 114.370
N1 C2 H10 106.988 C2 N1 H7 111.397
C2 N1 H8 110.682 C2 C3 C4 113.103
C2 C3 H11 111.607 C2 C3 H12 108.957
C3 C2 H9 109.858 C3 C2 H10 109.360
C3 C4 O5 113.648 C3 C4 O6 123.383
C4 C3 H11 108.371 C4 C3 H12 107.546
C4 O5 H13 108.185 O5 C4 O6 122.965
H7 N1 H8 107.444 H9 C2 H10 106.996
H11 C3 H12 107.001
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.744      
2 C -0.208      
3 C -0.410      
4 C 0.540      
5 O -0.553      
6 O -0.433      
7 H 0.332      
8 H 0.327      
9 H 0.162      
10 H 0.186      
11 H 0.193      
12 H 0.180      
13 H 0.429      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  6.541 -1.155 0.593 6.668
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -37.653 1.863 -0.155
y 1.863 -36.977 0.104
z -0.155 0.104 -33.265
Traceless
 xyz
x -2.532 1.863 -0.155
y 1.863 -1.518 0.104
z -0.155 0.104 4.050
Polar
3z2-r28.100
x2-y2-0.676
xy1.863
xz-0.155
yz0.104


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.316 0.446 0.117
y 0.446 6.632 -0.025
z 0.117 -0.025 5.276


<r2> (average value of r2) Å2
<r2> 172.661
(<r2>)1/2 13.140