Chemistry Lorentz Plot Revisited – Mathematica this time

Slides:

Advertisements

Similar presentations

Lines, Lines, Lines!!! ~ Slope-Intercept Form

Advertisements

Absolute Metabolite Concentrations Gaussian and Lorentzian Functions

Mortgages and Seashells. 1. Iterating Linear Functions.

Multiplication by multiples of 10 and 100 Objective to multiply numbers when 0’s are involved.

Formula? Unit?.  Formula ?  Unit?  Formula?  Unit?

Solving equations using factorisation Example 1:- x²+6x-16=0 Put the equation equal to 0 8, -2 Find two number that add to make 6 and times to make -

Volume of a Rectangular Prism

Area of a circle Radius r (m) Area A (m 2 ) when r = 2.5 A = 20 (to 2sf) when A = 30 r = 3.1 (to 2sf)

Arclength & Approximating Integrals. Solution: We plot the graph for convenience. We obtain the formula:

Creating a Short Story. Elements of a Short Story.

Examples Sequences State the "rule" and then write the next three values in the sequence. The "rule" can be in simple language (add 5 each time, double.

Cuby tutorial Github :

Quadratic equations can be solved using a variety of different methods. All these methods will be explained in great detail on the following slides. By.

Yr 10 Chemistry Dilutions.

Mathematica for Researchers 1 Presenter: Anjan Kumar Pudi N S.

EXAMPLE FORMULA DEFINITION 1.

List manipulation;curve fitting

CIRCLES Topic 7.3.

FUNCTIONS When you push a button on your phone, the tone made is actually two tones of different frequencies added together. To obtain the graph of the.

Multiplying Decimals.

Data manipulation II: Least Squares Fitting

Graphing Lines Using Intercepts

, Mean Median , Range Mode &.

Arithmetic Sequences Explicit Formulas.

Multiplying 2 and 3 Digit Do you remember….?.

of 89 Each repetition of the process is also called an "iteration”. Iteration means the act of REPEATING A PROCESS with the aim of approaching.

COORDINATE PLANE.

Homework Check: Pg ) € ) ) A and C.

Calc. III Final Project James Cole

Multiply a Teens Number

Section 5.1 Vertical and Horizontal Shifts

WALT: Add numbers using a 100 chart

CIRCLES Topic 10.2.

Solving Systems of Equations by Elimination

WARM UP State the pattern for each set.

Multiplying Decimals.

Rules of Integers.

Logistic in Mathematica

SHADING VENN DIAGRAMS

Differentiation L.O. All pupils are aware of differentials of common functions All pupils can solve basic differentiation questions Some pupils can solve.

Oral and Mental Starter

Unit 4 Mathematics Created by Educational Technology Network

Warm-up for Graph Skills #4,#5, #6 WS

Adding and Subtracting Rational Numbers

Surface Area of a Cylinder

Multiplying Multi-Digit Whole Numbers

Check for Understanding

Combining Like terms.

To Change a Mixed Number to an Improper Fraction

Distance and the coordinate plane

Adding & Subtracting Negative Fractions

Created by Mr. Lafferty Maths Dept.

Created by Mr. Lafferty Maths Dept.

Column addition with several numbers

When we multiply by 10 we are making the number ten times bigger.

Adding fractions with like Denominators

Created by Mr. Lafferty Maths Dept.

Mathematica: Hubble.

Warm-Up Please draw a dot over the number of siblings you have. For example: If you have 3 siblings, place a dot over 3.

Managing Daintree 16th July 2014

CIRCLES Topic 7.3.

Column addition with several numbers

CIRCLES Topic 7.3.

Places of interest?.

Practice Important Formulas

CIRCLES Topic 7.3.

Presentation transcript:

Chemistry Lorentz Plot Revisited – Mathematica this time

Add data to Mathematica chempeak={{400,0.09},{404,0.086},{408,0.087},{412,0.089},{416,0.094},{420,0.101},{424,0.109},{428,0.119},{432,0.130},{436,0.143},{440,0.157},{444,0.173},{448,0.189},{452,0.207},{456,0.226},{460,0.245},{464,0.264},{468,0.284},{472,0.302},{476,0.321},{480,0.337},{484,0.352},{488,0.366},{492,0.376},{496,0.383},{500,0.387},{504,0.388},{508,0.385},{516,0.367},{520,0.353},{524,0.336},{528,0.317},{532,0.296},{536,0.273},{540,0.251},{544,0.228},{548,0.205},{552,0.185},{556,0.165},{560,0.147}}

Make a ListPlot

Try FindFit to Lorentzian formula – it does not converge

Retry but give a starter value for the various parameters

Define Lorentzian function (note the underscores and the := ) Then plot the Lorentzian function

Use Show to put the data and fit together