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68    4  ·  Foliations, Lineations and Lattice Preferred Orientation
           4.1     4.1
                   Introduction

                   Many microstructures in rocks are defined by a preferred
                   orientation of minerals or fabric elements. We distinguish
                   foliations, lineations and lattice-preferred orientation.
                     The word foliation (Fig. 4.1) is used here as a general
                   term to describe any planar feature that occurs penetra-
                   tively in a body of rock. It may refer to thin rhythmic bed-
                   ding in a sedimentary rock, to compositional layering in
                   igneous rocks or to cleavage, schistosity, or other planar
                   structures in metamorphic rocks (Sect. 4.5). Joints are
                   normally excluded for not being sufficiently penetrative.
                   We prefer this broad use of a descriptive term to genetic
                   terms since it is often difficult to decide what the origin
                   of a planar structure in a deformed rock is. Foliations may
                   be defined by a spatial variation in mineral composition
                   or grain size (Fig. 4.1a), by a preferred orientation of elon-
                   gate or platy grains or aggregates of grains (Fig. 4.1b–f),
                   by planar discontinuities such as microfractures (Fig. 4.1g),
                   or by any combination of these elements (Fig. 4.1h).
                     Stylolites are irregular surfaces, usually in metasedimen-
                   tary rocks that can define a crude foliation but may also
                   occur isolated or crosscutting. They are described in Box 4.3.
                     A lineation is defined as any linear feature that occurs
                   penetratively in a body of rock (Fig. 4.2). Fibres and stria-
                   tions on fault planes are not lineations since they only
                   occur on specific planar surfaces in the rock, not penetra-
                   tively. Two main types of lineations can be distinguished;
                   object lineations and  trace lineations (Piazolo and
                   Passchier 2002a). Object lineations are defined by consti-
                   tuting elements that have a specific volume. Trace line-
                   ations are intersections of planes or microfolds on folia-
                   tion planes that lack a distinct volume (Sect. 4.3). Platelet
                   lineations are defined by planar minerals such as micas
                   that share a common axis. They have elements of object-  Fig. 4.1. Diagrammatic presentation of various fabric elements that
                                                                may define a foliation. (After Fig. 5.1 in Hobbs et al. 1976). a Compo-
                   and trace lineations.                        sitional layering. b Preferred orientation of platy minerals (e.g. mica).
                     In three dimensions many foliations show an associ-  c Preferred orientation of grain boundaries and shape of recrystal-
                   ated linear element, that is, the fabric elements defining  lised grains (e.g. quartz, carbonate) in a grain shape preferred ori-
                   the foliation may appear stronger in some sections nor-  entation. d Grain-size variation. e Preferred orientation of platy min-
                   mal to the foliation than in others. A complete transition  erals in a matrix without preferred orientation (e.g. mica in mica-
                                                                ceous quartzite or gneiss). f Preferred orientation of lenticular min-
                   from pure S tectonites (only a foliation) to LS tectonites  eral aggregates. g Preferred orientation of fractures or microfaults
                   (both a foliation and a lineation) to L tectonites (only a  (e.g. in low-grade quartzites). h Combination of fabric elements a,
                   lineation) can be imagined. In practice, such transitions  b and c; such combinations are common in metamorphic rocks
                   may actually exist within a single outcrop. Some lineations
                   may develop from or into foliations with time. An exam-  tion from a rock sample (Sect. 12.5). Lineations are treated
                   ple of the latter is the progressive development of slaty cleav-  in Sect. 4.3.
                   age at a high angle to bedding (Box 4.6, ×Video B.4.5).  Many rocks have a lattice-preferred orientation (LPO),
                     It is important in the description of a foliation to give  a non-random orientation of the crystallographic axes of
                   the relation with a lineation, if present. The linear ele-  constituent minerals. Some foliations or lineations are
                   ments that are of the same age as foliations in a volume of  defined by a LPO. However, we use the term here in a more
                   rock are important in tectonic studies because they may  restricted sense for minerals with an equant shape like
                   furnish information on the direction of tectonic trans-  quartz and calcite, the LPO of which cannot be seen in
                   port (Fig. 5.10). Such lineations must definitely been taken  the field or in thin section without the aid of special tech-
                   into consideration when deciding how to cut a thin sec-  niques. LPO is treated in Sect. 4.4.
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