Let's say I have an FCC lattice with lattice vectors:
a = 1.0 -1.0 -1.0
b = 1.0 1.0 -1.0
c = 1.5 0.0 2.5
How do I convert these to orthogonalise them?
2026-02-23 02:42:18.1771814538
Transform non-orthogonal lattice vectors to orthogonal lattice vectors
114 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail AtRelated Questions in ORTHOGONALITY
- Functions on $\mathbb{R}^n$ commuting with orthogonal transformations
- Proving set of orthogonal vectors is linearly indpendent
- Find all vectors $v = (x,y,z)$ orthogonal to both $u_1$ and $u_2$.
- Calculus III Vector distance problem.
- Is there a matrix which is not orthogonal but only has A transpose A equal to identity?
- Number of Orthogonal vectors
- Find the dimension of a subspace and the orthogonality complement of another
- Forming an orthonormal basis with these independent vectors
- orthogonal complement - incorrect Brézis definition
- Orthogonal Projection in Inner Product
Related Questions in CRYSTALLOGRAPHY
- Line coordinates from plane intersection
- Transformations commuting in 3D (crystallography)
- 3D Cosine Function for an HCP Lattice
- Setting up a mesh inside a parallelepiped
- Describe/name a cube in different poses
- What's wrong with this Penrose pattern?
- How would I go about learning Quasi Crystal Mathematics?
- Is there a "the" definition of a lattice?
- Point groups where the tensor square of two-dim. irreps (over $\mathcal{O}(3)$) does not contain a two-dim. irrep in its decomposition
- How can we calculate the volume of a BCC Wigner-Seitz Cell? (Based on a imaginary cube)
Trending Questions
- Induction on the number of equations
- How to convince a math teacher of this simple and obvious fact?
- Find $E[XY|Y+Z=1 ]$
- Refuting the Anti-Cantor Cranks
- What are imaginary numbers?
- Determine the adjoint of $\tilde Q(x)$ for $\tilde Q(x)u:=(Qu)(x)$ where $Q:U→L^2(Ω,ℝ^d$ is a Hilbert-Schmidt operator and $U$ is a Hilbert space
- Why does this innovative method of subtraction from a third grader always work?
- How do we know that the number $1$ is not equal to the number $-1$?
- What are the Implications of having VΩ as a model for a theory?
- Defining a Galois Field based on primitive element versus polynomial?
- Can't find the relationship between two columns of numbers. Please Help
- Is computer science a branch of mathematics?
- Is there a bijection of $\mathbb{R}^n$ with itself such that the forward map is connected but the inverse is not?
- Identification of a quadrilateral as a trapezoid, rectangle, or square
- Generator of inertia group in function field extension
Popular # Hahtags
second-order-logic
numerical-methods
puzzle
logic
probability
number-theory
winding-number
real-analysis
integration
calculus
complex-analysis
sequences-and-series
proof-writing
set-theory
functions
homotopy-theory
elementary-number-theory
ordinary-differential-equations
circles
derivatives
game-theory
definite-integrals
elementary-set-theory
limits
multivariable-calculus
geometry
algebraic-number-theory
proof-verification
partial-derivative
algebra-precalculus
Popular Questions
- What is the integral of 1/x?
- How many squares actually ARE in this picture? Is this a trick question with no right answer?
- Is a matrix multiplied with its transpose something special?
- What is the difference between independent and mutually exclusive events?
- Visually stunning math concepts which are easy to explain
- taylor series of $\ln(1+x)$?
- How to tell if a set of vectors spans a space?
- Calculus question taking derivative to find horizontal tangent line
- How to determine if a function is one-to-one?
- Determine if vectors are linearly independent
- What does it mean to have a determinant equal to zero?
- Is this Batman equation for real?
- How to find perpendicular vector to another vector?
- How to find mean and median from histogram
- How many sides does a circle have?