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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-323.679215
Energy at 298.15K-323.689123
Nuclear repulsion energy248.220315
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 3652 3475 9.38      
2 A 3558 3385 1.94      
3 A 3245 3088 783.01      
4 A 3168 3015 5.45      
5 A 3123 2971 20.19      
6 A 3069 2920 6.28      
7 A 3049 2901 67.40      
8 A 1899 1807 390.08      
9 A 1670 1589 35.05      
10 A 1534 1459 159.55      
11 A 1523 1449 134.15      
12 A 1476 1404 8.71      
13 A 1431 1362 10.87      
14 A 1382 1315 14.10      
15 A 1327 1263 9.53      
16 A 1314 1251 28.18      
17 A 1272 1211 48.62      
18 A 1157 1100 5.52      
19 A 1102 1049 5.64      
20 A 1038 988 24.95      
21 A 1025 975 93.84      
22 A 972 925 5.18      
23 A 927 882 26.76      
24 A 882 840 39.30      
25 A 825 785 25.41      
26 A 702 668 10.69      
27 A 582 554 2.79      
28 A 495 471 10.15      
29 A 416 396 13.58      
30 A 340 323 7.30      
31 A 294 280 10.01      
32 A 205 195 4.45      
33 A 91 87 0.38      

Unscaled Zero Point Vibrational Energy (zpe) 24371.4 cm-1
Scaled (by 0.9515) Zero Point Vibrational Energy (zpe) 23189.3 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 mPW1PW91/6-31G**
ABC
0.24154 0.08448 0.06677

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 1.891 0.576 0.146
C2 1.362 -0.696 -0.361
C3 0.011 -0.997 0.285
C4 -1.079 0.042 0.022
O5 -0.666 1.307 -0.055
O6 -2.241 -0.265 -0.083
H7 2.665 0.906 -0.418
H8 2.230 0.472 1.096
H9 2.045 -1.540 -0.200
H10 1.234 -0.590 -1.442
H11 -0.374 -1.958 -0.058
H12 0.133 -1.079 1.373
H13 0.323 1.324 0.051

Atom - Atom Distances (Å)
  N1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12 H13
N11.46792.45503.02022.66634.22231.01281.01432.14952.07733.40482.70781.7391
C21.46791.52722.57852.86623.63882.06572.05951.09751.09402.16742.15902.3078
C32.45501.52721.52842.42482.39593.34022.78222.16052.15481.09061.09782.3529
C43.02022.57851.52841.33331.20573.86743.50583.50872.80932.12182.13301.9003
O52.66632.86622.42481.33332.22523.37403.22583.93343.02193.27782.89240.9947
O64.22233.63882.39591.20572.22525.05434.68184.47283.74502.52022.90093.0190
H71.01282.06573.34023.86743.37405.05431.63392.53222.31014.19123.68152.4240
H81.01432.05952.78223.50583.22584.68181.63392.40072.92673.74412.62272.3353
H92.14951.09752.16053.50873.93344.47282.53222.40071.76112.45922.51853.3504
H102.07731.09402.15482.80933.02193.74502.31012.92671.76112.52433.06162.5924
H113.40482.16741.09062.12183.27782.52024.19123.74412.45922.52431.75403.3565
H122.70782.15901.09782.13302.89242.90093.68152.62272.51853.06161.75402.7485
H131.73912.30782.35291.90030.99473.01902.42402.33533.35042.59243.35652.7485

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 110.088 N1 C2 H9 113.037
N1 C2 H10 107.454 C2 N1 H7 111.432
C2 N1 H8 110.810 C2 C3 C4 115.102
C2 C3 H11 110.674 C2 C3 H12 109.588
C3 C2 H9 109.720 C3 C2 H10 109.473
C3 C4 O5 115.684 C3 C4 O6 121.955
C4 C3 H11 107.037 C4 C3 H12 107.493
C4 O5 H13 108.554 O5 C4 O6 122.345
H7 N1 H8 107.414 H9 C2 H10 106.950
H11 C3 H12 106.552
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 -0.690      
2 C -0.148      
3 C -0.360      
4 C 0.604      
5 O -0.520      
6 O -0.474      
7 H 0.290      
8 H 0.286      
9 H 0.140      
10 H 0.165      
11 H 0.175      
12 H 0.161      
13 H 0.372      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  6.607 -1.217 0.596 6.745
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -38.090 1.781 -0.216
y 1.781 -36.678 0.106
z -0.216 0.106 -32.964
Traceless
 xyz
x -3.269 1.781 -0.216
y 1.781 -1.150 0.106
z -0.216 0.106 4.420
Polar
3z2-r28.839
x2-y2-1.412
xy1.781
xz-0.216
yz0.106


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.882 0.456 0.111
y 0.456 6.346 -0.015
z 0.111 -0.015 5.167


<r2> (average value of r2) Å2
<r2> 170.139
(<r2>)1/2 13.044