|
Interpreting and
explaining the
1H hydrogen NMR spectrum of ethanol
Sub-index for
this page on the 1H spectroscopy of ethanol
(a)
Introductory note on the 1H NMR spectra of ethanol
(b)
Diagram of the 1H NMR spectrum of ethanol and its
molecular structure
(c)
Interpreting and explaining the 1H NMR spectrum of
ethanol
(d)
Very high resolution 1H NMR spectrum of
ultra-pure ethanol under the right condition!
(e)
Problems with the hydroxy (O-H) resonance in the
H-1 NMR of alcohols containing water
(f) Why the OH
proton chemical shift is usually observed as a singlet and how deuterium oxide can be used to identify the peak
caused by the hydroxyl proton
(g) A
historic note about the 1H NMR spectrum of ethanol
(h) Key
revision points
and practise questions
based on the 1H NMR spectrum of ethanol
(i)
Comparison of
the infrared, mass, 1H NMR and 13C NMR
spectra of the 2 isomers of C2H6O
(j)
ANSWERS to the multiple
choice questions based on the 1H NMR spectrum of
ethanol
[Author
©
Dr Phil Brown GRIC, PhD:
Doc Brown's advanced level organic chemistry exam revision notes
suitable for students of UK A level chemistry courses & US K12 grade
11, grade 12 and AP honors chemistry courses:
Molecular
spectroscopy analysis of
ethanol
[spectra page updated
RE-EDIT]
email doc
brown
* Re-edit 1H
NMR spectrum of CH3CH2OH
(C2H5OH, ethyl alcohol)
Key points
and practice questions
Links associated with ethanol
This is a BIG
website, PLEASE take time to explore it
[privacy policy, cookies
and disclaimer]
H-1 proton NMR spectroscopy -
spectra index
(a)
Introductory note on the 1H NMR spectra of ethanol
Students and teachers please note my explanation of the
proton NMR spectrum of ethanol is designed for advanced, but
pre-university, spectroscopy chemistry courses.
The chemical shift
δ splitting pattern effects for
ethanol are
confined to a proton spin-spin
coupling effects analysed using the n+1 rule for adjacent
non-equivalent proton fields (n is the number of neighbouring
protons in a non-equivalent different chemical environment for the
ethanol molecule).
It is assumed that the integrated intensities of the
1H
NMR δ
chemical shifts give the ratio of the protons in the different
non-equivalent chemical environments of the ethanol molecule.
The most common solvent used for investigating the 1H NMR
spectrum of compounds like ethanol, is CDCl3 and other
deuterated solvents to avoid confusion with a 1H NMR
signal, 2D (2H) has a different NMR chemical
shift.
(b)
Diagram of the 1H NMR spectrum of ethanol and its molecular
structure
Ethanol C2H6O,
,
,
,
aliphatic alcohol
Revision notes on the structure and naming
(nomenclature) of aliphatic ALCOHOLS and ETHERS
(c) Interpreting and explaining
the 1H NMR spectrum of ethanol
TMS is the acronym for tetramethylsilane, formula Si(CH3)4,
whose protons are arbitrarily given a chemical shift of 0.0 ppm.
This is the 'standard' in 1H NMR spectroscopy and all
other proton shifts, called chemical shifts, depend on the
individual (electronic) chemical environment of the hydrogen atoms
in an organic molecule - ethanol here.
The chemical shifts quoted in ppm on the diagram of
the H-1 NMR spectrum of ethanol represent the peaks of the intensity of
the chemical shifts of (which are often groups of split lines at
high resolution) AND the relative integrated areas under the peaks
gives you the ratio of protons in the different chemical
environments of the ethanol molecule.
Interpreting the
H-1 NMR spectrum of ethanol
For relatively simple molecules, the low
resolution H-1 NMR spectrum of ethanol is a good starting point.
The hydrogen atoms (protons) of ethanol occupy
3 different
chemical environments so that the H-1 proton low resolution
NMR
spectra should show 3 1H peaks (diagram above).
CH3CH2OH
Note the ratio of the 3 colours for the 3 proton
chemical environments in ethanol.
In terms of the H-1 chemical shifts for ethanol
(a) to (c) and applying the n+1 rule:
(a) Centred at 1.22 ppm, the CH3
protons are split by the 2 CH2 protons into a 1 : 2
: 1 triplet (n+1 = 3).
(b) Centred at 3.69 ppm, the CH2
protons are split by the 3 CH3 protons into a 1 : 3
: 3 : 1 quartet (n+3 = 4).
(c) The hydroxy proton O-H
gives a chemical shift of 2.61 ppm and shows no significant
splitting.
Normally the O-H proton resonance is not
split by adjacent protons and neither does it, in turn,
split the resonance of the same adjacent carbon atom protons - see
extra notes below.
I have found that
the OH 1H NMR signal for ethanol can vary and much
further downfield than the diagram above e.g. a chemical shift
~5 ppm.
The integrated NMR proton ratio observed of
3 : 2 : 1, corresponds with the structural formula of
ethanol.
See also comparing the IR, mass,
1H NMR and
13C NMR spectra of
isomers of C2H6O
below.
(d) Very high resolution 1H NMR spectrum of
ultra-pure ethanol under the right condition!
With ultra-pure anhydrous ethanol it is
possible to observe the splitting effects by, and of, the
hydroxyl proton OH
- but its a bit tricky in place!
(a) The CH3 protons give a
triplet from the CH2 protons- as above (n+1 =
3) - no change.
(b) You might think the CH2
proton resonance might seem to be split into a quintet
(n+1 = 5) by the CH3 and OH protons on either
side, and not
a quartet. Some diagrams I've seen look like this, but
this not actually what happens.
In fact the CH2 protons
are split by the CH3 protons into a
1:3:3:1 quartet, but this quartet is split into
doublets by the single OH proton (n+1 = 2), so a
series of 1:3:3:1 doublets, or 1:1:3:3:3:3:1:1 to be
a purist, but
this is going beyond pre-university level!
(c) As above, the OH resonance would be split into a
triplet (n+1 = 3) by the CH2 protons.
(This is university level NMR
spectroscopy, so don't worry, concentrate on the
basic
proton ratio of 3 : 2 : 1 to match the structure of
ethanol).
(e) Problems with the hydroxy (O-H) resonance in the
H-1 NMR of alcohols containing water
(i) The first important point to make is,
that despite the variety of different chemical shifts for
the OH proton resonance quoted in data books, textbooks
and internet sources, the integration of the NMR
resonances always gives the correct proton ratio in the
molecule, in this case 3 : 2 : 1 for ethanol CH3CH2OH
(ii) Apart from the O-H group resonance the
NMR spectra of most alcohols conform to what would be
expected e.g. the triplet and quartet of the spin-spin
splitting effects for the alkyl part resonances of the
ethanol molecule.
(iii) However, the OH proton NMR resonance for
ethanol is typically quoted as ~2.6 ppm (here) and ~5.3 ppm,
and some in between too!
BUT, the main difference you find from
various sources is not the OH proton chemical shift, but is it a singlet or a triplet?
(iv) The problem arises if the alcohol is
impure e.g. containing water or any source of labile protons,
because water and the alcohol, ethanol, exchange protons
e.g.
CH3CH2OH
+ H-O-H
CH3CH2OH
+ H-O-H
This means the CH2 protons no
longer experience a 'simple' local field from one
singlet proton from two possible orientations, but, over
a finite period, experience the averaging effect of
exchanging protons.
This removes the spin - spin coupling
effect and the OH proton resonance just shows up as a
singlet if the ethanol contains even a trace of water
(or acid).
This sort of exchange cannot happen with
the alkyl protons, but is common with molecules
containing a hydroxyl (OH) hydrogen atom like alcohols
and carboxylic acids.
Not only that, you also get proton
transfer between the alcohol molecules i.e.
CH3CH2OH
+ H-O-CH2CH3
CH3CH2OH
+ H-O-CH2CH3
which can give the same effect as traces of
water of acid.
Normally the result is the O-H proton resonance is not
split by adjacent protons and neither does it, in turn,
split the resonance of the same adjacent carbon atom protons - see
extra notes below.
(v)
So, in ethanol, all
you usually see in the H-1 NMR spectrum is the mutual splitting of the CH2
and CH3 proton resonances plus a singlet line
for the OH proton resonance.
Note the actual chemical shift
for the OH proton resonance of alcohols can depend on the
solvent and concentration used in the NMR machine, often CDCl3
- deuterated trichloromethane solvent.
See also comparing the IR, mass,
1H NMR and
13C NMR spectra of
isomers of C2H6O
below.
(f) why the OH
proton chemical shift is usually observed as a singlet in alcohols
like ethanol and how deuterium oxide can be used to identify the peak
caused by the hydroxyl proton
Although extremely weak acids, there
is constant exchanging of protons between alcohol
molecules
(R = alkyl groups of ethanol).
R-O-H
+ H-O-R
R-O-H
+ H-O-R
The rate of proton transfer is increased by
traces of water.
R-O-H
+ H-O-H
R-O-H
+ H-O-H
This cannot happen with the non-acidic C-H
protons of alkyl groups in alcohols like ethanol.
This rapid proton transfer interferes with the
field splitting effects of the hydroxyl O-H protons
and carbon C-H protons and the spin-spin
coupling effects disappear.
This phenomena can be used to identify the O-H
proton resonance from other C-H proton resonances in
hydroxyl molecules like ethanol.
If deuterium oxide (D2O,
where D = 2H) is added to the NMR sample,
the 1H protons are rapidly replaced by
2H protons in the ethanol molecule.
R-O-H
+ D-O-D
R-O-D
+ H-O-D
The 2H chemical shift frequency is
different to the 1H chemical shift
frequency, so the effect of D2O is to
remove the chemical shift for the OH proton from the
1H NMR
spectrum of ethanol, thereby identifying the original
1H chemical shift as belonging to the
hydroxyl group O-H proton and not a C-H proton of the
ethanol molecule.
(g) A
historic note about the 1H NMR spectrum of ethanol
On the right is the first successful 1H proton NMR spectrum from
1951. The possibility of the splitting pattern illustrated
below from a modern NMR scanner was unknown at the time.
This 1951 Nuclear Magnetic Resonance (NMR) spectrum of ethanol
was obtained at Stanford University by J.T. Arnold, S.S. Dharmatti
and M.E. Packard and was a major breakthrough in chemical analysis
By
detecting three distinct peaks, it provided the first experimental
proof of the "chemical shift", so demonstrating that NMR could
reveal different aspects of a molecular structure.
Because the hydrogen atoms in ethanol are situated in three
unique electron densities (chemical environments), these protons
precess at slightly different frequencies - now referred to as
chemical shifts versus a standard shift of zero.
This discovery showed that NMR could "see" specific molecular
structures, ultimately earning Felix Bloch and Edward Purcell the
1952 Nobel Prize in Physics.
The modern day NMR spectrometer can now detect complex splitting
patterns in 1H NMR spectra as you can see by comparing the two
images.
Both show the integrated
proton ratio of 1 : 2 : 3 for the
HO-CH2-CH3
molecule
Note: The latter spectrum was obtained from a another source
(than my usual) and shows the OH proton shift at ~4.7, similar to
the 1951 result. My original data gave the OH proton shift as
2.61 ppm.
(h)
Key points and practise questions
based on the 1H NMR spectrum of ethanol
Ethanol’s ¹H NMR spectrum
shows three distinct signals: a triplet (~1.2 ppm, CH3),
a quartet (~3.6 ppm, CH2),
and a singlet (~2.5–5.0 ppm, OH), with an integration
ratio of 3:2:1.
These features are
diagnostic for primary alcohols.
Practice multiple choice questions
based on 1H NMR spectrum of ethanol
Key
¹H NMR Signals of Ethanol
|
Chemical Shift (ppm) |
Proton
Type |
Environment |
Splitting |
Integration |
| ~1.2,
1.26 ppm |
CH3 |
Methyl (CH3–CH2–OH) |
Triplet |
3H |
| ~3.6,
2.61/4.7 ppm |
CH2 |
Methylene (CH3–CH2–OH) |
Quartet |
2H |
| ~2.5–5.0,
3.69 ppm |
OH |
Hydroxyl proton OH |
Singlet |
1H |
Sources: Doc Brown’s NMR
notes, ChemicalBook spectrum data, Quantum-resonance.org
simulation
Common Misconceptions
- Assuming OH
always appears at ~1 ppm:
OH chemical shift varies widely due to hydrogen bonding
and solvent effects.
- Expecting OH
splitting:
OH often appears as a singlet due to rapid exchange with
solvent.
- Misidentifying
triplet/quartet pattern:
CH3
and CH2
splitting is mutual (n+1 rule).
- Confusing
ethanol with methanol or propan-1-ol:
Integration and splitting patterns differ.
- Confusing
ethanol with methoxymethane:
Methoxymethane only shows one 1H signal, both
methyl groups are equivalent, not so in ethanol, CH2
not equivalent to CH3.
Exam Revision Tips
- Use
integration ratios:
Ethanol shows 3:2:1 for CH3:CH2:OH.
- Apply n+1 rule:
CH3
acting on CH2
→ quartet; CH2
acting on CH3
→ triplet.
- Check solvent
and temperature:
OH peak position and splitting can vary.
- Compare with
isomers:
Methoxymethane lacks OH and shows different splitting.
- Annotate
spectra:
Label each peak with shift, splitting, and integration.
Practice Multiple Choice Questions
based on the 1H NMR spectrum of ethanol
Each question includes
feedback and distractor analysis.
Jot your responses down and check out your answers
Q1.
What is the integration ratio of ethanol’s ¹H NMR signals?
- 2:2:2
- 3:2:1
- 3:2:2
- 5:1
Q2.
What splitting pattern is observed for the CH3
group in ethanol?
- Singlet
- Doublet
- Triplet
- Quartet
Answer: C
Q3.
Which signal corresponds to the CH2 group in
ethanol?
- Singlet at ~1.2 ppm
- Quartet at ~3.6 ppm
- Triplet at ~3.6 ppm
- Doublet at ~2.5 ppm
Q4.
Why does the OH proton often appear as a singlet?
- It’s not adjacent to
any protons
- It’s shielded by CH3
- It undergoes rapid
exchange
- It’s split by CH2
Q5.
What causes the quartet in ethanol’s 1H NMR
spectrum?
- CH3
coupling with OH
- CH2
coupling with CH3
- CH2
coupling with CH2
- OH coupling with CH2
Q6.
Which molecule shows a similar NMR pattern to ethanol?
- Methanol
- Propan-1-ol
- Methoxymethane
- Ethanoic acid
Q7.
What does the triplet at ~1.2 ppm indicate?
- CH3 group
- CH2 group
- OH group
- Aromatic proton
Q8.
Which signal is most affected by solvent and temperature?
- CH3
- CH2
- OH
- CH3CH2
|
The splitting pattern from proton
spin-spin coupling effects is analysed using the n+1 rule for
adjacent non-equivalent proton fields (n is the number of
neighbouring protons in a non-equivalent different chemical
environment).
|
Number of protons 1H
causing splitting |
Splitting pattern produced from the
n+1 rule and the theoretical ratio of line intensities |
|
0
means no splitting |
|
|
|
|
|
|
1 |
|
|
|
|
|
|
|
1
creates a doublet |
|
|
|
|
|
1 |
|
1 |
|
|
|
|
|
|
2
creates a triplet |
|
|
|
|
1 |
|
2 |
|
1 |
|
|
|
|
|
3
creates a quartet |
|
|
|
1 |
|
3 |
|
3 |
|
1 |
|
|
|
|
4
creates a quintet |
|
|
1 |
|
4 |
|
6 |
|
4 |
|
1 |
|
|
|
5
creates a sextet |
|
1 |
|
5 |
|
10 |
|
10 |
|
5 |
|
1 |
|
|
6
creates a septet |
1 |
|
6 |
|
15 |
|
20 |
|
15 |
|
6 |
|
1 |
|
(i)
Comparing the infrared, mass, 1H NMR and 13C NMR
spectra of the 2 isomers of C2H6O
NOTE: The images are linked to their
original detailed spectral analysis pages AND can be doubled in
size with touch screens to
increase the definition to the original ethanol (ethyl
alcohol) and
methoxymethane (dimethyl ether) image sizes. |
 |
 |
|
INFRARED SPECTRA:
Apart from the significant differences in the fingerprint region at
wavenumbers 1500 to 400 cm-1, the most striking
difference is the broad O-H stretching band ~3400 cm-1,
found in the infrared spectrum of alcohols, but absent in
the infrared spectrum of ethers. |
 |
 |
|
MASS SPECTRA: Both
ethanol and methoxymethane show some similarities in their mass
spectra, but their base ion peaks are quite different - for ethanol
it is m/z 31 and for methoxymethane it is m/z 45. |
 |
 |
|
1H NMR SPECTRA: The 1H NMR spectra of
ethanol and methoxymethane are quite significantly different.
Ethanol gives 3 peaks in the proton ratio 3:2:1 (3 different
chemical environments), whereas methoxymethane only gives one
1H chemical shift peak (all 6 protons in the same
chemical environment). Ethanol does not have the symmetry of
methoxymethane and has the hydroxyl group, thus producing 3
different chemical environments |
 |
 |
|
13C NMR SPECTRA: The 13C NMR spectra of
ethanol and methoxymethane are different. Ethanol gives two
13C resonances, but methoxymethane only one (2
different 13C chemical environments and a 13C
single chemical environment). |
Key words & phrases: Interpreting the proton H-1 NMR spectra of ethanol, low resolution & high resolution proton
nmr spectra of ethanol, H-1 nmr spectrum of ethanol, understanding the
hydrogen-1 nmr spectrum of ethanol, explaining the line splitting patterns in the
high resolution H-1 nmr spectra of ethanol, revising the H-1 nmr spectrum of
ethanol,
proton nmr of ethanol, ppm chemical shifts of the H-1 nmr spectrum of ethanol,
explaining and analyzing spin line splitting in the H-1 nmr spectrum, how
to construct the diagram of the H-1 nmr spectrum of ethanol, how to work out the
number of chemically different protons in the structure of the ethanol organic
molecule, how to analyse the chemical shifts in the hydrogen-1 H-1 proton NMR
spectrum of ethanol Molecular structure diagram of the
proton NMR diagram for the 1H NMR spectrum of ethanol. The proton ratio in the
1H NMR spectrum of ethanol. Deducing the number of different chemical
environments of the protons in the ethanol molecule from the 1H chemical shifts
in the hydrogen-1 NMR spectrum of ethanol. Analysing the very high resolution 1H NMR
spectrum of ultra-pure ethanol. Analysing the low resolution 1H NMR spectrum of
ethanol. You
may need to know the relative molecular mass of ethanol to deduce the molecular
formula from the proton ratio of the 1H NMR spectrum of ethanol. Revision notes
on the proton NMR spectrum of ethanol. Matching and deducing the structure of
the ethanol molecule from its hydrogen-1 NMR spectrum explaining the
chemical shift splitting pattern in the 1H proton nmr of ethanol and
complications in the spectra due to hydrogen bonding Explanatory diagram of the 1H H-1 proton NMR spectrum of the ethanol molecule. Listing data of all the chemical shift peaks in ppm in the proton NMR spectrum of ethanol. How to explain the H-1 NMR spectrum of ethanol. The values of the integrated proton ratios in the 1-H NMR spectrum of the ethanol molecule. How to work out the molecular structure of the ethanol molecule from its proton NMR spectrum What does the H-1 proton NMR spectrum tell us about the structure and properties of the ethanol molecule?
How do you interpret the H-1 NMR spectrum of
ethanol C2H5OH How to interpret
the H-1 NMR spectrum of ethanol C2H5OH Explanatory diagram of the chemical
shifts of the 1H H-1 proton NMR spectrum of the ethanol C2H5OH
molecule in terms of its molecular structure. Listing data of all the chemical shift peaks in ppm in the
proton NMR spectrum of ethanol C2H5OH. How to explain the H-1 NMR spectrum of
ethanol C2H5OH. The chemical shifts and integrated values of the proton ratios in the 1-H NMR
spectrum of the ethanol C2H5OH molecule. How to work out the molecular
structure of the ethanol C2H5OH molecule from its proton NMR spectrum. The uses
and distinctive features of the proton NMR spectrum of the ethanol
C2H5OH
molecule explained. What does the H-1 proton NMR spectrum chemical
shifts tell us about the
structure and properties of the ethanol C2H5OH
molecule? explaining the spin-spin proton coupling effects in the 1H
NMR spectrum of ethanol C2H5OH.
interpretation
diagram explaining the proton splitting
pattern produced from the n+1 rule and the theoretical ratio of chemical shift
and values of intensities for the proton NMR
spectrum lines of ethanol C2H5OH
(j)
ANSWERS to the multiple
choice questions based on the 1H NMR spectrum of
ethanol
Each question answer includes
feedback and distractor analysis.
Q1.
What is the integration ratio of ethanol’s ¹H NMR signals?
- 2:2:2
- 3:2:1
- 3:2:2
- 5:1
Answer: B
Feedback:
Ethanol has 3H (CH3),
2H (CH2),
and 1H (OH).
Distractors:
Q2.
What splitting pattern is observed for the CH3
group in ethanol?
- Singlet
- Doublet
- Triplet
- Quartet
Answer: C
Feedback:
CH3
is split by adjacent CH2
(2H → n+1 = 3).
Distractors:
- A: No adjacent protons
- B: Would require 1
adjacent proton
- D: CH2
shows quartet
Q3.
Which signal corresponds to the CH2 group in
ethanol?
- Singlet at ~1.2 ppm
- Quartet at ~3.6 ppm
- Triplet at ~3.6 ppm
- Doublet at ~2.5 ppm
Answer: B
Feedback:
CH2
is split by 3H of CH3
→ quartet.
Distractors:
- A: CH3
signal
- C: Wrong splitting
- D: OH signal varies
Q4.
Why does the OH proton often appear as a singlet?
- It’s not adjacent to
any protons
- It’s shielded by CH3
- It undergoes rapid
exchange
- It’s split by CH2
Answer: C
Feedback:
OH protons exchange rapidly, preventing coupling.
Distractors:
- A: OH is adjacent to
CH2
- B: Not
shielding-related
- D: Splitting
suppressed
Q5.
What causes the quartet in ethanol’s 1H NMR
spectrum?
- CH3
coupling with OH
- CH2
coupling with CH3
- CH2
coupling with CH2
- OH coupling with CH2
Answer: B
Feedback:
CH2
is split by 3H of CH3
→ quartet.
Distractors:
- A/C: CH3
shows triplet
- D: OH rarely couples
Q6.
Which molecule shows a similar NMR pattern to ethanol?
- Methanol
- Propan-1-ol
- Methoxymethane
- Ethanoic acid
Answer: B
Feedback:
Propan-1-ol has CH3, CH2, and OH
signals.
Distractors:
- A: No CH2–CH3
pattern
- C: No OH
- D: No CH3–CH2
pattern
Q7.
What does the triplet at ~1.2 ppm indicate?
- CH3 group
- CH2 group
- OH group
- Aromatic proton
Answer: B
Feedback:
CH2 splits another alkyl group e.g. CH3
gives triplet.
Distractors:
- A: Quartet at ~3.6 ppm
- C: Singlet, variable
- D: Wrong region
Q8.
Which signal is most affected by solvent and temperature?
- CH3
- CH2
- OH
- CH3CH2
Answer: C
Feedback:
OH chemical shift and splitting vary with conditions.
Distractors:
|
Associated links
with ethanol
H-1 proton NMR spectroscopy index
(Please
read the 8 points at the top of the 1H NMR index page)
The infrared spectrum of Ethanol (ethyl alcohol)
The mass spectrum of Ethanol (ethyl alcohol)
The C-13 NMR spectrum Ethanol (ethyl alcohol)
The chemistry of ALCOHOLS
revision notes INDEX
ALL SPECTROSCOPY INDEXES
All Advanced Organic
Chemistry Notes
Use My Google search site box
Email doc b:
chem55555@hotmail.com
Index of advanced
(pre-university) organic
chemistry revision notes
Index
of all my spectroscopy pages
Index
of all my isomerism pages
The chemistry of
alkanes and the petrochemical
industry
The
chemistry of alkenes
The
chemistry of organic halogen compounds
The
chemistry of
alcohols
The chemistry of
aldehydes
and ketones The
chemistry of carboxylic acids and derivatives
The chemistry of
organo-nitrogen compounds
The chemistry of
aromatic compounds
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Phil Brown 2000+. All copyrights reserved on revision notes, images,
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advanced level chemistry website material is NOT
permitted. Exam revision summaries & references to science course specifications
are unofficial. These organic chemistry revision notes on
spectroscopy of ethanol - its 1H NMR spectrum is fully analysed
and
suitable for use of pre-university students studying AQA advanced level
chemistry, Edexcel advanced level chemistry, OCR advanced level
chemistry, IB advanced level chemistry, WJEC (Eduqas) advanced level
chemistry, CIE advanced level chemistry, CCEA advanced level chemistry, US grade 11-12
K12 AP honors
chemistry courses and they will also prove useful to
1st year undergraduate students of chemistry. |