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Zerodur

Zerodur is a engineering 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 Zerodur rather than just read about it. In short: Zerodur is a lithium-aluminosilicate glass-ceramic manufactured by Schott AG. Zerodur has a near zero coefficient of thermal expansion (CTE), and is used for high-precision applications in telescope optics, microlithography machines and inertial navigation systems.

Zerodur — main illustration
Zerodur — illustration

Key takeaways

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

Reference excerpt

Zerodur is a lithium-aluminosilicate glass-ceramic manufactured by Schott AG. Zerodur has a near zero coefficient of thermal expansion (CTE), and is used for high-precision applications in telescope optics, microlithography machines and inertial navigation systems.

Manufacturing process Zerodur is produced in a two-step process involving melting and ceramization. Depending on the size of the blanks, each step can take several months. First, raw materials including main components of lithium oxide (Li2O), alumina (Al2O3), and silica (SiO2) are melted at high temperatures of around 1600 °C, poured into molds, and annealed in a controlled cooling process that relieves internal stresses that develop during forming. Then the glass undergoes a ceramization process involving controlled volume crystallization, which creates high-quartz nano-crystallites of 30 nm to 50 nm. The negative CTE of the crystals compensates for the positive CTE of the residual glass matrix, which gives Zerodur its near zero thermal expansion.

Applications

The main applications for Zerodur include telescope optics in astronomy and space applications, lithography machines for microchips and displays, and inertial measurements systems for navigation. In astronomy, it is used for mirror substrates in large telescopes such as the Hobby-Eberly Telescope, the Keck I and Keck II telescopes, the Gran Telescopio Canarias, the Devasthal Optical Telescope, the European Southern Observatory's 8.2 m Very Large Telescope, and the 39 m Extremely Large Telescope. It also has been used for the primary mirror of SOFIA's airborne telescope. ASA (AstroSysteme Austria) also produces some telescopes with Zerodur. In space, it has been used for the imager in Meteosat Earth observation satellites, and for the optical bench in the LISA Pathfinder mission. In microlithography, Zerodur is used in wafer steppers and scanner machines for precise and reproducible wafer positioning. It is also used as a component in refractive optics for photolithography. In inertial measurement units, Zerodur is used in ring laser gyroscopes.

Properties Zerodur has both an amorphous (vitreous) component and a crystalline component. Its most important properties are:

The material exhibits a particularly low thermal expansion, with a mean value of 0 ± 0.007×10−6 K−1 within the temperature range of 0 to 50 °C. High 3D homogeneity with few inclusions, bubbles and internal stria. Hardness similar to that of borosilicate glass. High affinity for coatings. Low helium permeability. Non-porous. Good chemical stability. Fracture toughness approximately 0.9 MPa·m1/2.

Physical properties Dispersion: (nF − nC) = 0.00967 Density: 2.53 g/cm3 at 25 °C Young's modulus: 9.1×1010 Pa Poisson ratio: 0.24 Specific heat capacity at 25 °C: 0.196 cal/(g·K) = 0.82 J/(g·K) Coefficient of thermal expansion (20 °C to 300 °C) : 0.05 ± 0.10×10−6/K Thermal conductivity: at 20 °C: 1.46 W/(m·K) Maximum application temperature: 600 °C Impact resistance behavior is substantially similar to other glass

History Schott began developing glass-ceramics in the 1960s led by Jürgen Petzoldt, in response to demand for low expansion glass ceramics for telescopes. In 1966, Hans Elsässer, the founding director of the Max Planck Institute for Astronomy (MPIA), asked the company if it could produce large castings of almost 4 meters using low-expansion glass-ceramic for telescope mirror substrates. In 1969, the MPIA ordered a 3.6 m (12 ft) mirror blank, along with ten smaller mirror substrates. The mirrors were delivered by late 1975, and went into operation in 1984 in a telescope at the Calar Alto Observatory in Spain. Further orders for mirror blanks followed.

See also CorningWare Macor Ring laser gyroscope Sitall

References

External links

Illustrations

Zerodur: Opening of the ELT secondary mirror Zerodur blank mold containing the glass at first annealing at the Schott AG 4-meter blank annealing facility in Mainz, Germany.[1]
Opening of the ELT secondary mirror Zerodur blank mold containing the glass at first annealing at the Schott AG 4-meter blank annealing facility in Mainz, Germany.[1]
Zerodur: The Keck II Telescope showing the segmented primary mirror made of Zerodur
The Keck II Telescope showing the segmented primary mirror made of Zerodur

Worked examples

Example 1 — a first encounter with Zerodur

Start with the simplest possible case. Write down what Zerodur claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In engineering, 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 Zerodur 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 Zerodur 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 Zerodur

In research
Zerodur appears in engineering 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 Zerodur 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
Zerodur is common in secondary-school and first-year university syllabi. It links to neighbouring topics German brands, Glass-ceramics, Glass trademarks and brands, so understanding it makes those chapters shorter.
In everyday life
Look for Zerodur 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 Zerodur in 20 minutes

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

Frequently asked questions

What is Zerodur in simple terms?

Zerodur is a lithium-aluminosilicate glass-ceramic manufactured by Schott AG. Zerodur has a near zero coefficient of thermal expansion (CTE), and is used for high-precision applications in telescope optics, microlithography machines and inertial navigation systems.

Why does Zerodur matter?

Because it connects several engineering 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 Zerodur?

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 Zerodur.

Tags

  • German brands
  • Glass-ceramics
  • Glass trademarks and brands
  • Glass types
  • Low-expansion glass
  • Low thermal expansion materials
  • Transparent materials

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