This is the area of the advanced stemNRICH site devoted to the core applied mathematics underlying the sciences.
Explore the rates of growth of the sorts of simple polynomials
often used in mathematical modelling.
Get some practice using big and small numbers in chemistry.
Many physical constants are only known to a certain accuracy. Explore the numerical error bounds in the mass of water and its constituents.
Advanced problems in the mathematical sciences.
Explore how can changing the axes for a plot of an equation can
lead to different shaped graphs emerging
Investigate why the Lennard-Jones potential gives a good
approximate explanation for the behaviour of atoms at close ranges
Investigate some of the issues raised by Geiger and Marsden's
famous scattering experiment in which they fired alpha particles at
a sheet of gold.
When a mixture of gases burn, will the volume change?
An introduction to a useful tool to check the validity of an equation.
Dip your toe into the world of quantum mechanics by looking at the
Schrodinger equation for hydrogen atoms
Find out why water is one of the most amazing compounds in the
universe and why it is essential for life. - UNDER DEVELOPMENT
An article about the kind of maths a first year undergraduate in
physics, engineering and other physical sciences courses might
encounter. The aim is to highlight the link between particular
maths. . . .
Investigate the effects of the half-lifes of the isotopes of cobalt
on the mass of a mystery lump of the element.
Ever wondered what it would be like to vaporise a diamond? Find out
Work out the numerical values for these physical quantities.
At what temperature is the pH of water exactly 7?
Here are several equations from real life. Can you work out which measurements are possible from each equation?
Investigate the mathematics behind blood buffers and derive the
form of a titration curve.
Are these statistical statements sometimes, always or never true?
Or it is impossible to say?
Use the logarithm to work out these pH values
Use the interactivity to practise your skills with concentrations
In this question we push the pH formula to its theoretical limits.
Explore the possibilities for reaction rates versus concentrations
with this non-linear differential equation
Can you fill in the mixed up numbers in this dilution calculation?
Which exact dilution ratios can you make using only 2 dilutions?
We all know that smoking poses a long term health risk and has the
potential to cause cancer. But what actually happens when you light
up a cigarette, place it to your mouth, take a tidal breath. . . .
Unearth the beautiful mathematics of symmetry whilst investigating
the properties of crystal lattices
Which dilutions can you make using 10ml pipettes and 100ml
Can you deduce why common salt isn't NaCl_2?
chemNRICH is the area of the stemNRICH site devoted to the
mathematics underlying the study of chemistry, designed to help
develop the mathematics required to get the most from your study. . . .
Can you break down this conversion process into logical steps?
Fancy learning a bit more about rates of reaction, but don't know
where to look? Come inside and find out more...
Use your skill and knowledge to place various scientific lengths in order of size. Can you judge the length of objects with sizes ranging from 1 Angstrom to 1 million km with no wrong attempts?
Can you work out how to produce the right amount of chemical in a
Read about the mathematics behind the measuring devices used in
From the atomic masses recorded in a mass spectrometry analysis can
you deduce the possible form of these compounds?
Estimate these curious quantities sufficiently accurately that you can rank them in order of size
Which dilutions can you make using only 10ml pipettes?
There has been a murder on the Stevenson estate. Use your
analytical chemistry skills to assess the crime scene and identify
the cause of death...
This is the area of the stemNRICH site devoted to the core applied
mathematics underlying the sciences.
A brief outline of the mathematical issues faced by chemistry
Do each of these scenarios allow you fully to deduce the required
facts about the reactants?
Think about the bond angles occurring in a simple tetrahedral
molecule and ammonia.
Explore the distribution of molecular masses for various hydrocarbons
Put your visualisation skills to the test by seeing which of these
molecules can be rotated onto each other.
Investigate the molecular masses in this sequence of molecules and deduce which molecule has been analysed in the mass spectrometer.
Explore the lattice and vector structure of this crystal.
What does the empirical formula of this mixture of iron oxides tell
you about its consituents?
An introduction to bond angle geometry.