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

using model chemistry: TPSSh/6-31+G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C1 1A
Energy calculated at TPSSh/6-31+G**
 hartrees
Energy at 0K-323.778551
Energy at 298.15K-323.788367
HF Energy-323.778551
Nuclear repulsion energy246.664224
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 TPSSh/6-31+G**
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 3584 3450 7.82      
2 A 3493 3362 0.67      
3 A 3135 3017 9.02      
4 A 3110 2993 831.24      
5 A 3099 2983 23.33      
6 A 3040 2926 10.62      
7 A 3026 2913 89.68      
8 A 1815 1747 447.43      
9 A 1666 1603 32.71      
10 A 1529 1471 3.82      
11 A 1486 1430 236.49      
12 A 1479 1424 11.77      
13 A 1415 1362 11.98      
14 A 1366 1314 8.63      
15 A 1313 1264 3.17      
16 A 1291 1242 20.01      
17 A 1238 1191 88.03      
18 A 1143 1100 7.26      
19 A 1066 1026 9.30      
20 A 1033 994 61.65      
21 A 1016 977 52.32      
22 A 953 917 1.83      
23 A 915 881 32.79      
24 A 863 831 46.82      
25 A 806 776 13.89      
26 A 683 657 9.27      
27 A 564 543 2.53      
28 A 483 465 10.22      
29 A 407 392 12.95      
30 A 335 322 5.25      
31 A 289 278 11.20      
32 A 199 191 4.86      
33 A 88 85 0.50      

Unscaled Zero Point Vibrational Energy (zpe) 23962.5 cm-1
Scaled (by 0.9625) Zero Point Vibrational Energy (zpe) 23063.9 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 TPSSh/6-31+G**
ABC
0.23763 0.08362 0.06596

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

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 1.856 0.579 0.125
C2 1.344 -0.716 -0.366
C3 0.001 -1.016 0.313
C4 -1.072 0.040 0.031
O5 -0.608 1.301 -0.032
O6 -2.244 -0.229 -0.117
H7 2.615 0.930 -0.454
H8 2.208 0.500 1.077
H9 2.034 -1.558 -0.212
H10 1.193 -0.613 -1.446
H11 -0.390 -1.989 0.011
H12 0.148 -1.047 1.401
H13 0.374 1.293 0.076

Atom - Atom Distances (Å)
  N1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12 H13
N11.47662.45332.97892.57294.18561.01691.01822.17062.08033.41392.68171.6464
C21.47661.53402.56242.82703.62922.08142.07591.09931.09492.18412.15972.2748
C32.45331.53401.53172.42062.41743.34722.78422.16782.16201.09191.09912.3507
C42.97892.56241.53171.34541.21103.82353.47353.50112.78162.14102.13281.9138
O52.57292.82702.42061.34542.24103.27153.13113.89712.98463.29822.85350.9878
O64.18563.62922.41741.21102.24105.00604.66624.48023.70492.55992.94853.0337
H71.01692.08143.34723.82353.27155.00601.64182.56662.32074.21523.66572.3314
H81.01822.07592.78423.47353.13114.66621.64182.43482.93853.75292.59672.2351
H92.17061.09932.16783.50113.89714.48022.56662.43481.76692.47172.53363.3119
H102.08031.09492.16202.78162.98463.70492.32072.93851.76692.55393.06382.5733
H113.41392.18411.09192.14103.29822.55994.21523.75292.47172.55391.76373.3710
H122.68172.15971.09912.13282.85352.94853.66572.59672.53363.06381.76372.6990
H131.64642.27482.35071.91380.98783.03372.33142.23513.31192.57333.37102.6990

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 109.133 N1 C2 H9 114.040
N1 C2 H10 107.058 C2 N1 H7 111.847
C2 N1 H8 111.294 C2 C3 C4 113.406
C2 C3 H11 111.450 C2 C3 H12 109.097
C3 C2 H9 109.711 C3 C2 H10 109.515
C3 C4 O5 114.408 C3 C4 O6 123.198
C4 C3 H11 108.219 C4 C3 H12 107.186
C4 O5 H13 109.260 O5 C4 O6 122.392
H7 N1 H8 107.558 H9 C2 H10 107.272
H11 C3 H12 107.218
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at TPSSh/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.746      
2 C -0.231      
3 C -0.248      
4 C 0.323      
5 O -0.427      
6 O -0.443      
7 H 0.317      
8 H 0.318      
9 H 0.161      
10 H 0.179      
11 H 0.196      
12 H 0.185      
13 H 0.416      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  6.797 -1.428 0.584 6.970
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.480 0.374 0.141
y 0.374 7.717 -0.037
z 0.141 -0.037 6.113


<r2> (average value of r2) Å2
<r2> 172.792
(<r2>)1/2 13.145