Time of Flight Mass Spectrometry Calculator

Model ion travel with calibrated laboratory inputs today. Compare mass, charge, voltage, timing, and path. Download clean tables for review and teaching records now.

Calculator Inputs

Example Data Table

Case m/z Path Voltage Charge Approximate time
Small ion 100 1.0 m 20 kV 1 5.09 µs
Peptide ion 1000 1.2 m 20 kV 1 27.33 µs
Protein ion 10000 1.5 m 25 kV 2 68.28 µs

Formula Used

The main relation starts with kinetic energy. An ion accelerated through voltage V gains energy equal to z e V. The same ion also has kinetic energy of one half m v squared.

z e V = 1/2 m v²

For mass to charge input, m equals m/z multiplied by z and the atomic mass unit. The charge factor cancels. The working flight time equation becomes:

t = L √((m/z) u / (2 e V)) + t0

Here L is effective path length. The symbol u is the atomic mass unit. The symbol e is elementary charge. The term t0 is the delay correction. Calibration mode uses t = t0 + a√(m/z).

How to Use This Calculator

Choose the value you need to solve. Enter the known m/z, path, voltage, time, and charge state. Select matching units for each value. Add a path multiplier when a reflectron or folded path changes effective distance. Enter a time zero offset when electronics add a known delay. Press the calculate button. The answer will appear above the form and below the header. Use the export buttons after a result appears.

Time of Flight Mass Spectrometry Guide

Time of flight mass spectrometry measures how long ions need to cross a known field free path. The idea is simple. Light ions travel faster. Heavy ions travel slower. The method becomes powerful when voltage, path length, and calibration delay are controlled.

Why Flight Time Matters

A sample is ionized first. Each ion is then accelerated by an electric potential. Ions with the same charge receive the same energy. Their speed depends on mass. The detector records arrival time. That time is converted into mass to charge ratio. This calculator follows that workflow. It can solve for time, mass to charge ratio, voltage, or path length.

Advanced Inputs

Real instruments include delays and effective paths. A reflectron can increase the useful travel distance. Cables and electronics can add a time offset. The form includes both adjustments. You may enter a multiplier for the effective path. You may also subtract a known time zero delay. These values help match instrument behavior.

Uncertainty and Review

The calculator also estimates relative uncertainty. It uses the main sensitivity terms from the square root relation. Length errors affect flight time directly. Voltage and mass errors enter with half weight during time prediction. For reverse calculations, timing and length errors can have doubled effect. This quick estimate is useful for checks. It is not a replacement for a full validation study.

Practical Use

Use calibrated values whenever possible. Enter standards that bracket the unknown peak. Keep units consistent. The tool converts common units internally. Review the velocity and kinetic energy. They can reveal unrealistic entries. Very high velocity may mean an incorrect unit. Very low voltage may also distort the result.

Reporting Results

The output table gives the final value and supporting details. It lists effective distance, net time, velocity, mass, and uncertainty. Use the CSV download for spreadsheets. Use the PDF download for lab notes. The example table shows common starting values. Always compare the result with instrument calibration records.

During method development, repeat calculations for several charge states. This helps identify overlapping peaks. It also supports sanity checks before acquisition. Save exported files with sample names, dates, and operator notes for future traceability. This supports audit review later.

FAQs

What does m/z mean?

It means mass to charge ratio. In this page, the value is treated as daltons per elementary charge. The calculator uses that value directly in the flight time equation.

Why does charge state still appear?

Charge state helps estimate neutral ion mass and kinetic energy. Flight time from m/z and voltage does not depend on charge state after cancellation.

What is the effective path multiplier?

It scales the physical path. Use it for reflectron paths, folded paths, or instrument corrections. A value of one means no adjustment.

What is time zero offset?

It is a delay from extraction, triggering, cables, or electronics. The calculator adds it for predicted time and subtracts it for reverse solving.

Can this replace instrument calibration?

No. It is a planning and checking tool. Use standards and the instrument method for final reporting, especially with high resolution work.

How is calibration mode different?

Calibration mode builds a two point relation between time and square root of m/z. It can estimate unknown m/z or expected time.

Why are velocities shown?

Velocity helps find wrong units or unrealistic entries. Extreme values often indicate an incorrect voltage, path length, or time unit.

What does the uncertainty estimate include?

It combines simple relative sensitivity terms for mass, voltage, length, and timing. It is a quick estimate, not a complete uncertainty budget.

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