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

using model chemistry: mPW1PW91/6-311G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C1 1A
Energy calculated at mPW1PW91/6-311G**
 hartrees
Energy at 0K-323.760782
Energy at 298.15K-323.770695
Nuclear repulsion energy248.420564
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 mPW1PW91/6-311G**
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 3631 3474 8.92      
2 A 3546 3393 1.50      
3 A 3290 3148 755.97      
4 A 3147 3011 6.83      
5 A 3102 2968 21.99      
6 A 3052 2920 6.44      
7 A 3035 2903 62.64      
8 A 1880 1799 415.05      
9 A 1662 1590 35.95      
10 A 1520 1454 60.07      
11 A 1507 1441 203.79      
12 A 1464 1400 10.55      
13 A 1424 1362 8.98      
14 A 1374 1315 12.28      
15 A 1321 1263 7.39      
16 A 1305 1248 24.70      
17 A 1260 1205 70.33      
18 A 1155 1105 7.73      
19 A 1097 1049 6.30      
20 A 1029 984 10.90      
21 A 1009 965 92.66      
22 A 968 926 8.56      
23 A 922 882 22.53      
24 A 877 839 41.87      
25 A 823 787 27.01      
26 A 705 675 10.55      
27 A 584 559 2.65      
28 A 495 474 9.16      
29 A 414 396 13.54      
30 A 336 321 7.10      
31 A 290 277 8.10      
32 A 205 196 4.53      
33 A 89 85 0.39      

Unscaled Zero Point Vibrational Energy (zpe) 24257.0 cm-1
Scaled (by 0.9567) Zero Point Vibrational Energy (zpe) 23206.6 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 mPW1PW91/6-311G**
ABC
0.24219 0.08440 0.06678

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/6-311G**

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 1.898 0.574 0.143
C2 1.360 -0.695 -0.362
C3 0.012 -0.992 0.289
C4 -1.082 0.039 0.024
O5 -0.673 1.306 -0.052
O6 -2.236 -0.268 -0.087
H7 2.665 0.906 -0.426
H8 2.244 0.469 1.090
H9 2.039 -1.540 -0.203
H10 1.227 -0.588 -1.441
H11 -0.372 -1.956 -0.043
H12 0.137 -1.061 1.376
H13 0.310 1.327 0.055

Atom - Atom Distances (Å)
  N1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12 H13
N11.46792.45553.02962.67984.22431.01161.01322.14722.07643.40412.70091.7591
C21.46791.52592.57842.86893.63082.06612.06021.09611.09282.16602.15652.3160
C32.45551.52591.52612.42182.39063.33922.78572.15682.15261.08951.09682.3499
C43.02962.57841.52611.33361.19893.87203.51923.50502.80562.11812.12731.8972
O52.67982.86892.42181.33362.21833.38253.24243.93423.02133.27552.88100.9893
O64.22433.63082.39061.19892.21835.05044.69004.46123.73202.51422.89803.0078
H71.01162.06613.33923.87203.38255.05041.63272.53442.30814.19033.67542.4401
H81.01322.06022.78573.51923.24244.69001.63272.39822.92543.74312.62032.3550
H92.14721.09612.15683.50503.93424.46122.53442.39821.76032.45212.51823.3582
H102.07641.09282.15262.80563.02133.73202.30812.92541.76032.52673.05802.5980
H113.40412.16601.08952.11813.27552.51424.19033.74312.45212.52671.75333.3547
H122.70092.15651.09682.12732.88102.89803.67542.62032.51823.05801.75332.7350
H131.75912.31602.34991.89720.98933.00782.44012.35503.35822.59803.35472.7350

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 110.196 N1 C2 H9 112.943
N1 C2 H10 107.459 C2 N1 H7 111.547
C2 N1 H8 110.943 C2 C3 C4 115.311
C2 C3 H11 110.721 C2 C3 H12 109.531
C3 C2 H9 109.602 C3 C2 H10 109.460
C3 C4 O5 115.580 C3 C4 O6 122.186
C4 C3 H11 106.971 C4 C3 H12 107.267
C4 O5 H13 108.608 O5 C4 O6 122.223
H7 N1 H8 107.484 H9 C2 H10 107.068
H11 C3 H12 106.633
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/6-311G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.532      
2 C -0.164      
3 C -0.343      
4 C 0.377      
5 O -0.319      
6 O -0.349      
7 H 0.232      
8 H 0.226      
9 H 0.137      
10 H 0.157      
11 H 0.164      
12 H 0.154      
13 H 0.259      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  6.487 -1.247 0.570 6.630
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -38.721 1.684 -0.294
y 1.684 -37.187 0.078
z -0.294 0.078 -33.350
Traceless
 xyz
x -3.452 1.684 -0.294
y 1.684 -1.151 0.078
z -0.294 0.078 4.604
Polar
3z2-r29.207
x2-y2-1.534
xy1.684
xz-0.294
yz0.078


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.277 0.421 0.089
y 0.421 6.750 -0.018
z 0.089 -0.018 5.502


<r2> (average value of r2) Å2
<r2> 170.436
(<r2>)1/2 13.055