Atom-economical Procedure

Economies of scope refer to a firm's cost advantages by producing a wider variety of products rather than focusing on a single product. Economies of scope are achieved when the total cost of producing multiple products together is less than the sum of producing each product independently. This production efficiency is primarily possible due to sharing common resources across the different types of outputs. This includes skilled labor, an efficient managerial team, or advanced technologies that...

A firm may experience economies of scale in the long run. This occurs when a firm's output increases, but its total costs increase at a slower rate. For example, the firm may spend only 50 percent more in total cost to double the level of output. This means that the long run average cost decreases. This effect is illustrated by the downward slope of the long-run average cost curve, indicating that larger production capacity enables a firm to become more cost-efficient. Several reasons could...

Atoms — and the protons, neutrons, and electrons that compose them — are extremely small. For example, a carbon atom weighs less than 2 × 10−23 g. When describing the properties of tiny objects such as atoms, we use appropriately small units of measure, such as the atomic mass unit (amu). The amu was originally defined based on hydrogen, the lightest element, then later in terms of oxygen. Since 1961, it has been defined with regard to the most abundant isotope of carbon, atoms of which are...

An atomic orbital represents the three-dimensional regions in an atom where an electron has the highest probability to reside. The radial distribution function indicates the total probability of finding an electron within the thin shell at a distance r from the nucleus. The atomic orbitals have distinct shapes which are determined by l, the angular momentum quantum number. The orbitals are often drawn with a boundary surface, enclosing densest regions of the cloud. The angular momentum...

The mathematical expression known as the wave function, ψ, contains information about each orbital and the wavelike properties of electrons in an isolated atom. When atoms are bound together in a molecule, the wave functions combine to produce new mathematical descriptions that have different shapes. This process of combining the wave functions for atomic orbitals is called hybridization and is mathematically accomplished by the linear combination of atomic orbitals. The new orbitals that...