science

Triclinic crystal system

Triclinic crystal system is a science topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Triclinic crystal system rather than just read about it. In short: In crystallography, the triclinic (or anorthic) crystal system is one of the seven crystal systems. A crystal system is described by three basis vectors.

Key takeaways

Triclinic crystal system belongs to science; place it in that map before memorising details.
Learn the definition first, then one example that makes the definition concrete.
Connect Triclinic crystal system to a quantity you can measure, compute or draw — that is where exam questions come from.
Reproduce the core statement of Triclinic crystal system from memory before moving on to harder problems.

Reference excerpt

In crystallography, the triclinic (or anorthic) crystal system is one of the seven crystal systems. A crystal system is described by three basis vectors. In the triclinic system, the crystal is described by vectors of unequal length, as in the orthorhombic system. In addition, the angles between these vectors must all be different and may not include 90°. The triclinic lattice is the least symmetric of the 14 three-dimensional Bravais lattices. It has (itself) the minimum symmetry all lattices have: points of inversion at each lattice point and at 7 more points for each lattice point: at the midpoints of the edges and the faces, and at the center points. It is the only lattice type that itself has no mirror planes.

Crystal classes

The triclinic crystal system class names, examples, Schönflies notation, Hermann-Mauguin notation, point groups, International Tables for Crystallography space group number, orbifold, type, and space groups are listed in the table below. There are a total of 2 space groups.

With each only one space group is associated. Pinacoidal is also known as triclinic normal. Pedial is also triclinic hemihedral. Mineral examples include plagioclase, microcline, rhodonite, turquoise, wollastonite and amblygonite, all in triclinic normal (1).

See also Crystal structure Crystal system

References

Hurlbut, Cornelius S.; Klein, Cornelis, 1985, Manual of Mineralogy, 20th ed., pp. 64 – 65, ISBN 0-471-80580-7

External links Media related to Triclinic crystal system at Wikimedia Commons

Illustrations

Worked examples

Example 1 — a first encounter with Triclinic crystal system

Start with the simplest possible case. Write down what Triclinic crystal system claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In science, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Triclinic crystal system before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Triclinic crystal system ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Triclinic crystal system

In research: Triclinic crystal system appears in science research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry: Engineering practice reuses Triclinic crystal system in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom: Triclinic crystal system is common in secondary-school and first-year university syllabi. It links to neighbouring topics Crystal systems, so understanding it makes those chapters shorter.
In everyday life: Look for Triclinic crystal system outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.

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How to study Triclinic crystal system in 20 minutes

Read the reference excerpt below once, without taking notes.
Close the page and write down what Triclinic crystal system means in your own words.
Compare your version with the excerpt and mark what you missed.
Work through the three examples above with pen and paper.
Explain Triclinic crystal system out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Triclinic crystal system in simple terms?

In crystallography, the triclinic (or anorthic) crystal system is one of the seven crystal systems. A crystal system is described by three basis vectors.

Why does Triclinic crystal system matter?

Because it connects several science ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Triclinic crystal system?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Triclinic crystal system.