Learn

Learning preferences

Make learning more comfortable. Changes apply immediately.

Enlarges page content, including diagrams and their labels. You can also use your browser’s zoom.

Choose the colours that are easiest for you to distinguish. Applies to lesson diagrams and lab plots. Labels, shapes, hatching and line patterns also distinguish meanings. Source photographs and raw image brightness stay unchanged; mask-only views are available for image overlays.

ExampleComparisonSample link

Saved in this browser on this device. Preferences are separate from progress backups.

SCIENCE · INVESTIGATE AND EXPLAIN

Connect silicate structure to oxygen and charge accounting

A silicon–oxygen tetrahedron has four oxygen corners around one silicon. Minerals differ in how these tetrahedra connect and which cations balance their charges. Isolated units occur in olivine; chains in pyroxenes and amphiboles; sheets in micas and clays; frameworks in quartz and feldspars. These arrangements help explain cleavage and other properties, but are not merely decorative geometric labels.

Learning outcome: Compare sharing 0, 2, 3 and 4 at four silicon atoms. Reconstruct total oxygen and charge independently and sketch which corners are shared. Explain why adding Al substitution would invalidate the simple charge calculation.

Starting recap

Separate observation, material inventory, process model and historical inference. State units and the evidence that could reject a proposed explanation.

All lessons are open directly. Your saved experiments remain when you leave and return.

Try

For four silicon atoms and two shared corners per tetrahedron, oxygen per silicon is 3: total oxygen 12, formal charge −8 and four divalent cations balance it. Full sharing instead gives oxygen per silicon 2 and no net Si–O framework charge.

Open the experiment

Predict

How will increased corner sharing change oxygen count and the need for balancing cations?

Experiment

Compare sharing 0, 2, 3 and 4 at four silicon atoms. Reconstruct total oxygen and charge independently and sketch which corners are shared. Explain why adding Al substitution would invalidate the simple charge calculation.

Count shared oxygen and charge per silicon

Worked teaching model · synthetic values · Ideal corner-sharing tetrahedra with Si4+ and O2− only; each shared oxygen counted half per tetrahedron. O per Si=4−s/2, charge per Si=4−2(O/Si); divalent balancing cations=−total charge/2. No Al substitution, hydroxyl, edge-sharing or claim every integer setting is a named mineral.

Reset keeps your prediction, captures and practice history.

Sharing changes the oxygen inventory and balancing charge, not the four corners around each silicon.

An isolated tetrahedron has four oxygen per silicon; full corner sharing gives two. Actual silicates also depend on substitution, cation size and lattice geometry. This count is not a complete structural identification.

OOOOSiDashed: shared corner; solid: unshared corner
Complete quantities under the stated assumptions
QuantityValueUnit
Oxygen per silicon3O/Si
Silicon atoms4atoms
Unique oxygen atoms in accounting unit12atoms
Framework charge-8elementary charges
Divalent cations needed for neutrality4cations

Retain the prediction and settings before comparing explanations. Replayed supplied observations are not new specimens, independent field samples or practical certification.

Sharing changes the oxygen inventory and balancing charge, not the four corners around each silicon.

An isolated tetrahedron has four oxygen per silicon; full corner sharing gives two. Actual silicates also depend on substitution, cation size and lattice geometry. This count is not a complete structural identification.

Captures preserve recipes and replay their calculated results. They are synthetic model evidence, not physical measurements.

Understand

1. Define the geological question

A silicon–oxygen tetrahedron has four oxygen corners around one silicon. Minerals differ in how these tetrahedra connect and which cations balance their charges. Isolated units occur in olivine; chains in pyroxenes and amphiboles; sheets in micas and clays; frameworks in quartz and feldspars. These arrangements help explain cleavage and other properties, but are not merely decorative geometric labels.

2. Build the mechanism and evidence ledger

If each tetrahedron shares s oxygen corners with neighbors, count each shared oxygen half to avoid duplication. Oxygen per silicon is 4−s/2. With formal Si4+ and O2−, charge per silicon is 4−2(4−s/2). Multiply by the number of silicon atoms before determining balancing cations.

The controls isolate charge bookkeeping: only silicon, oxygen and hypothetical divalent balancing cations are included. Real feldspars can substitute aluminum for silicon and require different balancing charges; hydroxyl-bearing minerals add another constraint. A correct simple oxygen ratio cannot identify every silicate.

Geometry and composition jointly matter. Strong bonding within mica sheets and weaker bonding between layers support one prominent cleavage direction. Quartz forms a connected framework and usually fractures instead of showing cleavage. Avoid claiming that every integer sharing setting corresponds to one unique named mineral.

3. Reconstruct a worked example

For four silicon atoms and two shared corners per tetrahedron, oxygen per silicon is 3: total oxygen 12, formal charge −8 and four divalent cations balance it. Full sharing instead gives oxygen per silicon 2 and no net Si–O framework charge.

4. Predict and investigate

Predict first: How will increased corner sharing change oxygen count and the need for balancing cations?

Compare sharing 0, 2, 3 and 4 at four silicon atoms. Reconstruct total oxygen and charge independently and sketch which corners are shared. Explain why adding Al substitution would invalidate the simple charge calculation.

5. Test a changed case

Apply the mechanism to a changed case

For six silicon atoms and three shared corners per tetrahedron, calculate oxygen atoms, charge and required divalent cations.

Retain the calculation, evidence and assumptions before opening public feedback.

Compare a worked response

Oxygen per silicon is 2.5, so oxygen count 15, charge 24−30=−6 and three divalent cations are needed. Six silicon centers still each have four surrounding corners; shared atoms are not removed from their coordination.

6. Retain evidence and its limits

Keep the first prediction, complete ledger, changed case and rejected alternative in the lesson notebook. Supplied observations and bounded CPU models are not actual specimen handling, fieldwork or independently assessed competence. Record source purpose and uncertainty rather than treating public feedback as independent reasoning.

Mechanism and classification reference, checked 30 October 2026. Original teaching prose, numerical packets and questions; no source illustration or exercise is copied.

Apply

Why does full corner sharing give two oxygen atoms per silicon in the inventory?

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

For six silicon atoms and three shared corners per tetrahedron, calculate oxygen atoms, charge and required divalent cations.

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.

Save a science backup or import one

Science work is stored locally in this browser, separately from mathematics and AI. It does not sync automatically. Use this science-only backup; this checkout's older all-subject export does not include science.

A legacy file is available only when the complete snapshot fits the 36 MB limit. For larger snapshots, prepare a complete file set below; never discard notebooks to make a smaller file.

Matching imported notebook drafts replace their current drafts. Omitted lessons and known first attempts remain. Export your current work first if you want to retain both drafts.

Complete file sets and course backups

A file set can hold more work than one science file. Keep its manifest and every part together. Each file is limited to 36 MB. This format needs this version of LearnAI or a compatible newer version; older versions can use only the legacy single-file backup above.

The set includes every saved science course and global continuation at this moment. Later edits need a new export. A conflicting tab exports its own visible work, which may differ from saved work in another tab.

0 file(s) selected. File order and filenames do not determine identity. Missing, changed or conflicting parts block the entire restore; no good part is applied by itself.

Science storage: loading. No account or remote computation is required.