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

using model chemistry: B3LYP/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 B3LYP/3-21G
 hartrees
Energy at 0K-321.958800
Energy at 298.15K-321.968808
Nuclear repulsion energy246.286092
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 B3LYP/3-21G
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
1 A 3496 3374 5.72      
2 A 3402 3283 1.48      
3 A 3147 3036 5.75      
4 A 3117 3007 15.57      
5 A 3050 2942 16.15      
6 A 3045 2938 27.03      
7 A 2495 2407 973.05      
8 A 1809 1745 419.71      
9 A 1702 1642 31.66      
10 A 1596 1540 202.41      
11 A 1558 1504 19.04      
12 A 1523 1469 8.43      
13 A 1424 1374 11.03      
14 A 1379 1330 4.74      
15 A 1336 1289 4.49      
16 A 1300 1255 12.98      
17 A 1220 1177 92.75      
18 A 1216 1173 130.41      
19 A 1165 1124 31.23      
20 A 1057 1020 10.61      
21 A 1009 974 12.85      
22 A 956 922 9.07      
23 A 916 884 33.09      
24 A 848 819 49.66      
25 A 791 763 13.18      
26 A 694 670 13.74      
27 A 571 551 4.57      
28 A 494 476 11.52      
29 A 431 415 9.75      
30 A 371 358 11.84      
31 A 344 332 9.12      
32 A 209 201 4.87      
33 A 92 88 0.40      

Unscaled Zero Point Vibrational Energy (zpe) 23879.0 cm-1
Scaled (by 0.9649) Zero Point Vibrational Energy (zpe) 23040.8 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 B3LYP/3-21G
ABC
0.23424 0.08485 0.06660

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/3-21G

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 1.873 0.576 0.147
C2 1.343 -0.736 -0.373
C3 -0.011 -1.033 0.299
C4 -1.080 0.055 0.022
O5 -0.589 1.315 -0.050
O6 -2.271 -0.216 -0.091
H7 2.617 0.960 -0.444
H8 2.205 0.493 1.114
H9 2.049 -1.559 -0.206
H10 1.201 -0.615 -1.451
H11 -0.415 -1.984 -0.052
H12 0.131 -1.112 1.386
H13 0.461 1.281 0.065

Atom - Atom Distances (Å)
  N1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12 H13
N11.50722.48203.00102.57704.22481.02451.02612.17192.10303.43942.72371.5796
C21.50721.54062.57962.83583.66212.12142.11231.09691.09372.18032.16942.2441
C32.48201.54061.55062.44342.43473.38032.81102.18442.16881.09161.09942.3731
C43.00102.57961.55061.35471.22603.83453.48943.52782.79662.14612.16531.9697
O52.57702.83582.44341.35472.27473.24883.13623.90382.98133.30392.91031.0563
O64.22483.66212.43471.22602.27475.03914.68874.52473.74972.56372.95843.1185
H71.02452.12143.38033.83453.24885.03911.67762.59312.34474.24403.71732.2382
H81.02612.11232.81103.48943.13624.68871.67762.44502.96853.78952.63602.1824
H92.17191.09692.18443.52783.90384.52472.59312.44501.77712.50452.53253.2648
H102.10301.09372.16882.79662.98133.74972.34472.96851.77712.53793.07242.5373
H113.43942.18031.09162.14613.30392.56374.24403.78952.50452.53791.76933.3825
H122.72372.16941.09942.16532.91032.95843.71732.63602.53253.07241.76932.7528
H131.57962.24412.37311.96971.05633.11852.23822.18243.26482.53733.38252.7528

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 109.044 N1 C2 H9 112.068
N1 C2 H10 106.829 C2 N1 H7 112.440
C2 N1 H8 111.571 C2 C3 C4 113.130
C2 C3 H11 110.700 C2 C3 H12 109.381
C3 C2 H9 110.709 C3 C2 H10 109.664
C3 C4 O5 114.329 C3 C4 O6 122.101
C4 C3 H11 107.360 C4 C3 H12 108.388
C4 O5 H13 108.934 O5 C4 O6 123.552
H7 N1 H8 109.791 H9 C2 H10 108.433
H11 C3 H12 107.708
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.690      
2 C -0.259      
3 C -0.501      
4 C 0.657      
5 O -0.598      
6 O -0.492      
7 H 0.305      
8 H 0.300      
9 H 0.205      
10 H 0.232      
11 H 0.232      
12 H 0.219      
13 H 0.390      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  7.211 -1.524 0.605 7.395
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -37.542 2.607 -0.277
y 2.607 -37.365 0.257
z -0.277 0.257 -33.027
Traceless
 xyz
x -2.346 2.607 -0.277
y 2.607 -2.081 0.257
z -0.277 0.257 4.427
Polar
3z2-r28.853
x2-y2-0.177
xy2.607
xz-0.277
yz0.257


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.383 0.590 0.134
y 0.590 5.723 -0.050
z 0.134 -0.050 4.570


<r2> (average value of r2) Å2
<r2> 170.724
(<r2>)1/2 13.066