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SCIENCE · INVESTIGATE AND EXPLAIN

Compare bond distances without hiding unmatched evidence

Make a signed numerical prediction, then audit whether the reference pair isolates the proposed explanation.

Learning outcome: Calculate signed and relative bond-distance differences while distinguishing atom identity, bond order, molecular environment and the source distance definition.

Starting recap

One angstrom is 100 picometres. A negative target-minus-reference difference means the target distance is shorter. Correlated changes are not automatically a one-variable causal experiment.

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Try

Ethane and ethene share a carbon–carbon atom pair. Ethyne adds a different source structure definition. Can all three numbers be treated as equivalent equilibrium measurements?

Open the experiment

Predict

Predict the ethene-minus-ethane change in pm and identify what changes besides bond order. Predict whether correcting the definition for the same HCl species proves a physical sample change.

Experiment

Enter your signed prediction, capture it with an explanation, then correct its arithmetic. Compare ethane/ethene, ethene/ethyne and HCl/HBr; make a matched-variable ledger in each note. Finish with uncorrected versus corrected HCl and explain why 0.1 pm rounding hides its small difference.

Audit a bond-distance comparison

Frozen reference values with a learner prediction and calculated comparison · Frozen compiled molecular distances, with definitions and missing conditions retained. Enter a signed prediction rounded to 0.1 pm; arithmetic agreement is not a measurement uncertainty or a causal conclusion.

Reset keeps your prediction, captures and practice history.

Selected reference values and your signed prediction

Reference: Ethane C–C; target: Ethene C=C. Target minus reference = 1.339 − 1.536 = -0.197 Å = -19.7 pm. One Å is 100 pm. The descriptive relative change is -12.825521%.

Reference: Ethane C–C1.536 ÅTarget: Ethene C=C1.339 Å00.511.52Å
Your prediction: 0 pmReference difference: -19.7 pm-40-2002040pm

Your prediction is 0 pm, with signed error 19.7 pm. Revise the arithmetic or sign if needed. This rounding check is not an experimental uncertainty or a grade for your causal explanation.

What was held similar, and what changed?

Same atom pair and compilation citation; hydrogen count and electronic environment change. The row does not specify r_e versus averaged-distance definition.

The selected C=C distance is shorter. This supports a bond-order trend, not a controlled numerical effect of changing only bond order.

Selected valueDefinition / stateReferenceConditions and uncertainty
Ethane C–C
1.536 Å
Compiled molecular distance; r_e/r_0 definition not specified in this row
1A1g, D3d
Herzberg (1966)Temperature, pressure and numeric uncertainty are not specified in the selected row. Blank uncertainty does not mean zero.
Ethene C=C
1.339 Å
Compiled molecular distance; r_e/r_0 definition not specified in this row
1Ag, D2h
Herzberg (1966)Temperature, pressure and numeric uncertainty are not specified in the selected row. Blank uncertainty does not mean zero.

rₑ refers to an equilibrium-distance definition; vibrationally averaged/effective structure definitions need not give the same number. Ethyne is explicitly labeled rₘ in its source. The ethane/ethene rows are not silently relabeled equilibrium distances. For the HCl correction comparison, the two numbers describe different reported definitions for the same species; rounding both to 0.1 pm hides that small distinction.

Frozen reference selection

Accessed 2026-10-28. Historical compiled reference values, not raw measurement records, current-best estimates or newly measured classroom data. Missing conditions/uncertainty remain null. Selected factual reference values from NIST CCCBDB SRD101 release22 (May2022), NIST Chemistry WebBook SRD69 Huber/Herzberg compilation, and NIST isotopic mass tables. Original derived comparisons; no source illustrations reproduced. NIST SRD compilations retain their stated copyright. Only selected factual values are used; all comparisons and diagrams are original. Record a capture of your numerical prediction and explain which variables or definitions remain unmatched.

Compare your signed prediction with target minus reference.

The selected C=C distance is shorter. This supports a bond-order trend, not a controlled numerical effect of changing only bond order.

Captures retain the selected frozen reference pair and your numerical prediction. Replay recalculates the same comparison; it creates no new physical measurement, fitted uncertainty or independent causal evidence.

Understand

Start with a difference you can defend

A table lists the carbon–carbon distance in ethane as 1.536 Å and in ethene as 1.339 Å. Before explaining why, calculate what changed. Target minus reference means ethene minus ethane: 1.339 − 1.536 = −0.197 Å. One ångström, Å, is 100 picometres, pm, so the change is −19.7 pm. The minus sign means shorter. It does not mean a negative bond length.

Enter your own signed prediction in the numerical control and capture it with a note before correcting it. The comparison graph uses the same scale for both reference distances, and a separate signed scale for your prediction. If you enter +19.7, the magnitude matches but the direction is reversed. The percentage change uses the original ethane distance: −0.197/1.536 × 100, about −12.826%. Changing the denominator changes the question.

These values are selected entries from NIST CCCBDB’s ethane record and ethene record. They are historical compiled experimental-reference entries, not measurements performed in this browser. Their source is Herzberg’s 1966 compilation. The selected rows give neither a numeric uncertainty nor a temperature/pressure pair. Missing uncertainty is not zero uncertainty.

A matching atom pair is a useful start

The carbon nuclei are the same elements in both molecules, and the simple Lewis descriptions change from a single to a double carbon–carbon bond. The shorter selected distance is consistent with the introductory bond-order trend. But hydrogen count and the surrounding electronic structure also change. This is a comparison between different molecules, not a way to change only one knob inside a real molecule.

Write a small matched-variable ledger in your capture note: same, changed, not reported. Keep “consistent with a trend” separate from “isolates the numerical effect of bond order.” A reference comparison can teach something even when it cannot establish the strongest causal claim.

The earlier potential-curve lesson deliberately varied well depth and equilibrium position independently in an original teaching model. That experiment isolated programmed parameters. It was not a fitted explanation of these real molecular records. Do not take a shorter reference distance and assign it an invented dissociation energy.

Read the distance definition

Now compare ethene with ethyne’s selected CCCBDB distance, 1.203 Å. Its row explicitly says rₘ structure, with Kuchitsu’s 1998 compilation as the source. The selected ethane and ethene rows do not specify rₑ or a particular averaging convention. We preserve that absence.

An equilibrium distance, rₑ, refers to a minimum-distance definition for the electronic potential. Effective or averaged structural parameters inferred from molecular motion need not be numerically identical to that minimum. The precise definition of an rₘ structural model needs its source methodology; this lesson does not silently turn it into rₑ. The ethene-to-ethyne difference is still calculable, −13.6 pm, but a calculation does not remove definition mismatch. There is no supplied uncertainty with which to test statistical significance.

Change the comparison question

The selected ground-state H³⁵Cl and H⁸¹Br distances are 1.274552 and 1.414435 Å. The second is 13.9883 pm longer. Here the simple Lewis bond order stays single while the halogen element changes. That is consistent with the role of atomic core size, but the electronic potential also changes; it is not an isotope-only control.

Finally select uncorrected versus corrected HCl. NIST note 31 explicitly distinguishes the tabulated value derived from Bₑ from a Born–Oppenheimer minimum of 1.2746149 Å. Their difference is 0.00629 pm, even though both round to the same 0.1 pm prediction. This is a source-definition/correction comparison for the same species, not evidence that a sample physically changed. The rounding feedback checks arithmetic only; it does not measure uncertainty or assess your explanation.

Transfer the reasoning

For each comparison, state the numerical result, then state the strongest supported interpretation and one missing observation. A new molecule pair can preserve the bonded elements while changing its environment or measurement definition. A useful next source would report compatible distance definitions, uncertainties and conditions. Continue to the isotope investigation to test another common shortcut: treating a lower vibration coefficient as direct evidence of a much weaker bond.

Apply

A new reference packet lists A–B at 1.50 Å in one molecule and A=B at 1.31 Å in another. The distance definitions and uncertainty are unspecified. Which report is supported?

Public practice checks a specific claim. It does not establish independent mastery.

State which comparisons support a qualitative trend and which precise causal or energy claims remain unjustified. List missing conditions and uncertainty instead of treating blank cells as zero.

Continue

Completion requires a saved prediction, at least one capture and a reflection. Presence checks do not grade your reasoning.

Skipping retains experiments and awards no mastery.

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