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

using model chemistry: mPW1PW91/3-21G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C1 1A
Energy calculated at mPW1PW91/3-21G*
 hartrees
Energy at 0K-321.882880
Energy at 298.15K-321.892957
Nuclear repulsion energy247.641516
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 mPW1PW91/3-21G*
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 3560 3381 11.95      
2 A 3461 3286 4.47      
3 A 3178 3017 3.58      
4 A 3145 2987 12.71      
5 A 3078 2922 10.26      
6 A 3073 2918 26.68      
7 A 2472 2347 1038.39      
8 A 1837 1745 470.65      
9 A 1710 1624 42.61      
10 A 1624 1542 235.41      
11 A 1560 1481 9.73      
12 A 1520 1443 10.97      
13 A 1431 1359 10.92      
14 A 1386 1316 7.60      
15 A 1344 1276 8.26      
16 A 1313 1246 19.87      
17 A 1257 1194 113.35      
18 A 1245 1183 120.31      
19 A 1175 1116 21.60      
20 A 1077 1022 7.32      
21 A 1025 973 22.85      
22 A 967 919 7.18      
23 A 931 884 38.42      
24 A 867 824 49.44      
25 A 807 766 16.67      
26 A 704 669 14.65      
27 A 583 554 5.09      
28 A 499 473 12.45      
29 A 440 418 10.11      
30 A 388 368 13.85      
31 A 351 333 6.89      
32 A 211 201 4.96      
33 A 91 87 0.44      

Unscaled Zero Point Vibrational Energy (zpe) 24154.0 cm-1
Scaled (by 0.9496) Zero Point Vibrational Energy (zpe) 22936.6 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 mPW1PW91/3-21G*
ABC
0.23712 0.08592 0.06751

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/3-21G*

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 1.858 0.568 0.154
C2 1.333 -0.730 -0.376
C3 -0.013 -1.031 0.294
C4 -1.072 0.057 0.022
O5 -0.573 1.305 -0.057
O6 -2.262 -0.207 -0.083
H7 2.600 0.962 -0.428
H8 2.179 0.481 1.122
H9 2.038 -1.555 -0.223
H10 1.184 -0.598 -1.451
H11 -0.420 -1.978 -0.061
H12 0.128 -1.114 1.381
H13 0.478 1.263 0.065

Atom - Atom Distances (Å)
  N1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12 H13
N11.49742.46512.97742.54924.19911.02151.02312.16362.09583.42382.70691.5480
C21.49741.53312.56112.80593.64382.11412.10401.09611.09352.17502.16462.2125
C32.46511.53311.54232.42712.42433.36412.78822.17872.16021.09111.09882.3562
C42.97742.56111.54231.34601.22343.80823.45803.51112.77252.13892.15831.9637
O52.54922.80592.42711.34602.26693.21293.10503.87572.94123.28682.89971.0586
O64.19913.64382.42431.22342.26695.01204.65254.50773.72752.55512.94573.1123
H71.02152.11413.36413.80823.21295.01201.67612.58672.34204.23073.69982.1994
H81.02312.10402.78823.45803.10504.65251.67612.44392.96243.76882.61092.1499
H92.16361.09612.17873.51113.87574.50772.58672.44391.77632.49932.53213.2333
H102.09581.09352.16022.77252.94123.72752.34202.96241.77632.53213.06632.5017
H113.42382.17501.09112.13893.28682.55514.23073.76882.49932.53211.76833.3654
H122.70692.16461.09882.15832.89972.94573.69982.61092.53213.06631.76832.7388
H131.54802.21252.35621.96371.05863.11232.19942.14993.23332.50173.36542.7388

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 108.860 N1 C2 H9 112.146
N1 C2 H10 106.944 C2 N1 H7 112.763
C2 N1 H8 111.798 C2 C3 C4 112.766
C2 C3 H11 110.832 C2 C3 H12 109.552
C3 C2 H9 110.828 C3 C2 H10 109.525
C3 C4 O5 114.177 C3 C4 O6 122.038
C4 C3 H11 107.388 C4 C3 H12 108.439
C4 O5 H13 108.914 O5 C4 O6 123.769
H7 N1 H8 110.127 H9 C2 H10 108.438
H11 C3 H12 107.700
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.742      
2 C -0.312      
3 C -0.569      
4 C 0.685      
5 O -0.621      
6 O -0.509      
7 H 0.328      
8 H 0.322      
9 H 0.234      
10 H 0.261      
11 H 0.263      
12 H 0.248      
13 H 0.411      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  7.390 -1.601 0.629 7.587
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -37.552 2.708 -0.230
y 2.708 -37.235 0.282
z -0.230 0.282 -32.847
Traceless
 xyz
x -2.511 2.708 -0.230
y 2.708 -2.036 0.282
z -0.230 0.282 4.547
Polar
3z2-r29.094
x2-y2-0.316
xy2.708
xz-0.230
yz0.282


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.261 0.569 0.122
y 0.569 5.630 -0.053
z 0.122 -0.053 4.524


<r2> (average value of r2) Å2
<r2> 168.785
(<r2>)1/2 12.992