A Double Chain Silicate Is
These compounds form chains of indefinite length. Depending on their construction, they tin be Unmarried or Double Chain Silicates.
Single chain silicates
In this group of minerals each SiO4 shares 2 oxygens with two adjacent tetrahedrons. A long chain is formed.
Formula of a single concatenation silicate.
Chains are held together by stiff ionic bonds with positive metal ions (Mg2+ and Na+)
Metal ions need to be present and link the chains to each other through ionic bonds. These bondage associate along their axes and class gristly crystals. Asbestos, a well known natural inorganic cobweb, is a typical example of such fibrous structure. 
A sample of Augite, a mineral of the Pyroxene family (unmarried chain silicates)
Other minerals in this family unit are Pyroxenes, that include Augite.
Chains are held together by stiff ionic bonds with positive metal ions (Mg2+ and Na+)
Double chain silicates
In such silicates adjacent tetrahedrons share either ii oxygens to continue the chain, or iii oxygen atoms to connect also to a 2d chain, giving rising to parallel double chains. 
A sample of Hornblende, a double chain silicate
The planes formed past these double chains incorporate large empty hexagonal spaces where cations (K+, Na+) find place. In addition, an OH- ion is present at the center of each hexagon. The formula of the chain repeating unit is: [Si4O11(OH)]vii-.
Amphiboles, who are calcium, magnesium and iron silicates [Ca2(Fe,Mg)5SieightO22(OH)two] and include Hornblende, vest to the family of double chain silicates.
A Double Chain Silicate Is,
Source: http://www.whatischemistry.unina.it/en/chainsi.html
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