Space‑time yield calculator.
Calculate the Space-Time Yield of any chemical process from reactant masses, actual product isolated, reactor volume, and reaction time.
What is Space-Time Yield — and why does it matter?
Space-Time Yield (STY) measures the mass of desired product a reactor produces per unit volume per unit time, expressed in grams per litre per hour (g·L−1·h−1). Unlike percent yield, which compares what you got to what theory predicts, STY evaluates the productivity of the reactor itself, making it the key metric for comparing batch reactions, continuous flow processes, and industrial-scale manufacturing. A high STY means the same reaction vessel produces more product in less time, reducing energy consumption, solvent use, and capital cost per gram of product.
The formula
| Symbol | Term | Units |
|---|---|---|
| \(\text{STY}\) | Space-Time Yield | g·L−1·h−1; higher is better |
| \(m_{\text{product}}\) | Actual mass of pure, dry desired product isolated | g |
| \(V_{\text{reactor}}\) | Total volume of the reaction mixture (solvent + all reagents) | L |
| \(t_{\text{reaction}}\) | Reaction time from reagent addition to quench or start of product isolation | h |
STY uses the actual mass isolated, not the theoretical maximum. Increasing % yield, increasing reagent concentration, or switching to a faster reaction all increase STY. Unlike Atom Economy, STY is an entirely experimental metric, and it cannot be estimated before running the reaction.
Strengths and limitations
Strengths
- Captures real experimental productivity, not a theoretical estimate
- Directly comparable across batch, semi-batch, and continuous processes
- Highlights inefficiencies from excessive dilution or slow kinetics
- Simple to calculate: only mass, volume, and time are needed
- Scales directly to industrial throughput metrics
- Drives process intensification and adoption of flow chemistry
Limitations
- Says nothing about what was used: a high STY from a toxic stoichiometric reagent is still poor green chemistry
- Does not capture atom economy, waste composition, or by-product hazard
- Sensitive to how "reactor volume" is defined; including workup volumes dramatically changes STY
- Does not capture purification time, energy input, or solvent recovery
- Favours fast, concentrated reactions regardless of selectivity
- Must be paired with E-factor, PMI, and AE for a complete greenness picture
STY in context: complementary green metrics
| Metric | What it measures | Stage |
|---|---|---|
| Space-Time Yield (STY) | Product mass per reactor volume per unit time (reactor productivity) | Experimental |
| % Yield | Fraction of theoretical product actually isolated from limiting reagent | Experimental |
| Atom Economy (AE) | Theoretical fraction of reactant mass incorporated into desired product | Design |
| E-factor | Mass of all waste per mass of product (solvents, excess, by-products) | Experimental |
| PMI (Process Mass Intensity) | Total mass of all inputs per mass of product; E-factor + 1 | Experimental |
| RME (Reaction Mass Efficiency) | Combined practical efficiency: AE × yield × stoichiometric factor | Both |
Experiment details
Reactants
Enter the mass and molecular weight of each reactant used. The tool identifies the limiting reagent (lowest moles/coefficient ratio) and calculates the theoretical yield for context. Reactant masses appear in the breakdown charts.
| Compound name | Formula | MW (g/mol) | Mass used (g) | Coeff. | Moles |
|---|
Product & reaction conditions
Enter the desired product, then the actual mass isolated and the reaction conditions. STY = product mass ÷ (reactor volume × reaction time).
| Product name | Formula | MW (g/mol) | Coeff. | MW × n |
|---|
Results
Reactant mass contributions
Actual vs. theoretical product mass
Detailed breakdown & interpretation
| Compound | Role | Formula | MW (g/mol) | Mass (g) | Moles | Coeff. | % of total mass | Visual |
|---|---|---|---|---|---|---|---|---|
| Enter reactants and product above to see breakdown. | ||||||||
Interpretation
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Export
Export your Space-Time Yield calculation as a PDF report or CSV data file. PDF opens in a new tab and uses your browser's print function. CSV downloads directly.
Where can I read more?
References are sorted alphabetically by first author.
- P. T. Anastas and J. C. Warner, Green Chemistry: Theory and Practice, Oxford University Press, 1998. ISBN 978-0-19-850698-0. Original statement of the 12 Principles; frames energy efficiency as Principle 6.
- J. Andraos, "Assessing the Sustainability of Syntheses of the Anti-tuberculosis Pharmaceutical Pretomanid by Green Metrics", in Sustainable Organic Synthesis: Tools and Strategies, ed. S. Protti and A. Palmieri, Royal Society of Chemistry, 2021, pp. 1–21. Link. Worked case study applying space-time yield alongside other green metrics to a pharmaceutical synthesis.
- D. J. C. Constable et al., Green Chem., 2002, 4, 521–527. DOI. Metrics to "green" chemistry: formally introduces space-time yield as a green chemistry metric.
- C. Jiménez-González et al., Org. Process Res. Dev., 2011, 15, 912–917. DOI. Using the right green chemistry metric to evaluate the greenness of a chemical process; discusses STY in context of PMI.
- T. Newhouse, P. S. Baran and R. W. Hoffmann, Chem. Soc. Rev., 2009, 38, 3010–3021. DOI. The economies of synthesis; discusses step economy and throughput.
- M. Poliakoff et al., Science, 2002, 297, 807–810. DOI. Green chemistry: science and politics of change; context for process intensification.
- R. A. Sheldon, Green Chem., 2017, 19, 18–43. DOI. The E-Factor 25 years on: metrics landscape including STY and comparisons across industries.
Contributors
Roles follow the CRediT taxonomy (Contributor Roles Taxonomy), adapted for educational software. Hover a contributor's name for a summary, or a column header for the definition of that role.
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This portal was built with the assistance of a large language model (Claude, Anthropic), which was used to generate and refine code, articulate and structure contributed ideas within the defined page format, and support iterative design decisions. All scientific content, conceptual frameworks, pedagogical choices, and final outputs were directed, reviewed, and verified by the contributors listed above.
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