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In physics, the reciprocal lattice represents the Fourier transform of another lattice (usually a Bravais lattice). In normal usage, the initial lattice (whose transform is represented by the reciprocal lattice) is usually a periodic spatial function in real-space and is also known as the direct lattice. While the direct lattice exists in real-space and is what one would commonly understand as a physical lattice (e.g., a lattice of a crystal), the reciprocal lattice exists in reciprocal space (also known as momentum space or less commonly as K-space, due to the relationship between the Pontryagin duals momentum and position)
Reciprocal Lattice - Wikipedia
primitive vectors
His Autobiography backs up his assertions, but only by carefully editing out a critical period in his business career. From 1866, when he returned from his yearlong tour of Europe, to 1872, when he entered the steel business, Carnegie would accumulate the fortune that was later reinvested in his steel mills by doing precisely what he would later condemn: buying and selling shares in companies whose assets he knew were worth far less than the value of their stock.
Andrew Carnegie
David Nasaw
Fifth. Write out a clear, concise statement of the amount of money you intend to acquire, name the time limit for its acquisition, state what you intend to give in return for the money, and describe clearly the plan through which you intend to accumulate it.
Think and Grow Rich
Hill, Napoleon
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