Skip to content
quotesby

The interest of research workers has frequently been focused on the phenomenon of regularly shaped crystals suddenly forming from a liquid, e.g. a supersaturated salt solution. According to the atomic theory the forming force in this process is to a certain extent the symmetry characteristic of the solution to Schrodinger's wave equation, and to that extent crystallization is explained by the atomic theory. Nevertheless this process retains a statistical and - one might almost say - historical element which cannot be further reduced: even when the state of the liquid is completely known before crystallization, the shape of the crystal is not determined by the laws of quantum mechanics. The formation of regular shapes is just far more probable than that of a shapeless lump. But the ultimate shape owes its genesis partly to an element of chance which in principle cannot be analysed further.

Werner Heisenberg#9

ScienceProbabilityRealizationStatistics

About this quote

What does it mean?
Crystal formation shows statistical, historical elements and chance beyond quantum law; shape is probabilistic not deterministic.
In plain terms
Crystallization involves chance that can't be fully predicted.
What can you take from it?
Accept probabilistic outcomes in complex processes.

Where it applies

  • material science
  • chemical engineering

Putting it to work

  • run simulations
  • embrace statistical models

Questions to consider

  • How much randomness can you tolerate?
  • When is a statistical approach insufficient?

Another view

Deterministic models still useful for many predictions.

More from Werner Heisenberg

  1. I think that modern physics has definitely decided in favor of Plato. In fact the smallest units of matter are not physical objects in the ordinary sense; they…

    Permalink to quote #8
  2. However the development proceeds in detail, the path so far traced by the quantum theory indicates that an understanding of those still unclarified features of…

    Permalink to quote #10
  3. After these conversations with Tagore some of the ideas that had seemed so crazy suddenly made much more sense. That was a great help for me.

    Permalink to quote #7

Related quotes

  1. Stop telling God what to do with his dice.

    Niels BohrNiels Bohr quote #21
  2. Where are they?

    Enrico FermiEnrico Fermi quote #3
  3. The double-sun system was relatively poor in comets; there were only a hundred billion of them.

    Iain BanksIain Banks quote #6