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

using model chemistry: PBEPBE/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 PBEPBE/6-31G
 hartrees
Energy at 0K-323.272354
Energy at 298.15K-323.282246
Nuclear repulsion energy245.060518
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 PBEPBE/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 3535 3486 6.89      
2 A 3421 3374 1.17      
3 A 3079 3036 6.87      
4 A 3048 3006 19.00      
5 A 2977 2936 13.24      
6 A 2970 2929 39.50      
7 A 2465 2431 956.88      
8 A 1726 1703 400.75      
9 A 1658 1635 50.89      
10 A 1523 1502 152.60      
11 A 1501 1480 42.12      
12 A 1465 1445 6.90      
13 A 1387 1368 12.63      
14 A 1337 1318 5.90      
15 A 1291 1273 3.04      
16 A 1261 1244 19.14      
17 A 1198 1181 110.76      
18 A 1172 1156 104.71      
19 A 1130 1115 21.32      
20 A 1058 1043 8.67      
21 A 984 970 19.22      
22 A 936 923 5.23      
23 A 902 889 44.06      
24 A 840 829 80.70      
25 A 789 778 11.07      
26 A 664 655 11.25      
27 A 553 545 3.07      
28 A 488 481 10.28      
29 A 430 424 8.58      
30 A 355 350 3.30      
31 A 331 326 17.58      
32 A 208 205 6.32      
33 A 94 93 0.28      

Unscaled Zero Point Vibrational Energy (zpe) 23387.1 cm-1
Scaled (by 0.9862) Zero Point Vibrational Energy (zpe) 23064.3 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 PBEPBE/6-31G
ABC
0.23230 0.08401 0.06576

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

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 1.880 0.575 0.140
C2 1.361 -0.738 -0.352
C3 -0.011 -1.033 0.286
C4 -1.078 0.048 0.020
O5 -0.596 1.329 -0.048
O6 -2.287 -0.222 -0.089
H7 2.606 0.979 -0.459
H8 2.202 0.540 1.113
H9 2.064 -1.570 -0.155
H10 1.250 -0.651 -1.447
H11 -0.409 -1.990 -0.087
H12 0.102 -1.143 1.383
H13 0.454 1.298 0.052

Atom - Atom Distances (Å)
  N1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12 H13
N11.49542.48723.00742.59524.24881.02401.02602.17312.10173.44542.76781.6020
C21.49541.54162.58952.86223.69312.12412.11881.10701.10362.18352.18172.2655
C32.48721.54161.54202.45562.44423.38462.83882.18822.17651.10131.10922.3882
C43.00742.58951.54201.36961.24333.83003.49223.53852.83882.14852.16151.9768
O52.59522.86222.45561.36962.29473.24713.13023.93553.04643.32432.94041.0546
O64.24883.69312.44421.24332.29475.05174.70894.55483.81212.57932.95353.1367
H71.02402.12413.38463.83003.24715.05171.68192.62442.33954.24783.76412.2354
H81.02602.11882.83883.49223.13024.70891.68192.46592.97983.82862.70452.1810
H92.17311.10702.18823.53853.93554.55482.62442.46591.78252.50842.52883.2958
H102.10171.10362.17652.83883.04643.81212.33952.97981.78252.52793.09332.5845
H113.44542.18351.10132.14853.32432.57934.24783.82862.50842.52791.77253.4021
H122.76782.18171.10922.16152.94042.95353.76412.70452.52883.09331.77252.8024
H131.60202.26552.38821.97681.05463.13672.23542.18103.29582.58453.40212.8024

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 109.950 N1 C2 H9 112.379
N1 C2 H10 106.965 C2 N1 H7 113.623
C2 N1 H8 113.028 C2 C3 C4 114.224
C2 C3 H11 110.301 C2 C3 H12 109.704
C3 C2 H9 110.337 C3 C2 H10 109.618
C3 C4 O5 114.866 C3 C4 O6 122.327
C4 C3 H11 107.569 C4 C3 H12 108.124
C4 O5 H13 108.566 O5 C4 O6 122.782
H7 N1 H8 110.260 H9 C2 H10 107.479
H11 C3 H12 106.612
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/6-31G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.747      
2 C -0.196      
3 C -0.374      
4 C 0.461      
5 O -0.541      
6 O -0.398      
7 H 0.325      
8 H 0.321      
9 H 0.167      
10 H 0.192      
11 H 0.193      
12 H 0.183      
13 H 0.412      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  7.446 -1.581 0.647 7.640
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -38.764 2.952 -0.316
y 2.952 -37.644 0.237
z -0.316 0.237 -33.338
Traceless
 xyz
x -3.274 2.952 -0.316
y 2.952 -1.593 0.237
z -0.316 0.237 4.867
Polar
3z2-r29.734
x2-y2-1.120
xy2.952
xz-0.316
yz0.237


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.228 0.574 0.142
y 0.574 6.498 -0.040
z 0.142 -0.040 5.026


<r2> (average value of r2) Å2
<r2> 172.752
(<r2>)1/2 13.144